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96660 = 22335179
BaseRepresentation
bin10111100110010100
311220121000
4113212110
511043120
62023300
7551544
oct274624
9156530
1096660
1166693
1247b30
1334cc5
1427324
151d990
hex17994

96660 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 25632.

The previous prime is 96643. The next prime is 96661. The reversal of 96660 is 6669.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96661) by changing a digit.

96660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

296660 is an apocalyptic number.

96660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

96660 is an abundant number, since it is smaller than the sum of its proper divisors (205740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96660 is a wasteful number, since it uses less digits than its factorization.

96660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 96660 is about 310.9019137928. The cubic root of 96660 is about 45.8932622858.

The spelling of 96660 in words is "ninety-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1611 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10740 16110 19332 24165 32220 48330 96660