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662880 = 25351381
BaseRepresentation
bin10100001110101100000
31020200022010
42201311200
5132203010
622112520
75430411
oct2416540
91220263
10662880
11413039
1227b740
131a294a
14133808
15d1620
hexa1d60

662880 has 48 divisors (see below), whose sum is σ = 2089584. Its totient is φ = 176640.

The previous prime is 662867. The next prime is 662897. The reversal of 662880 is 88266.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

662880 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 7 ways as a sum of consecutive naturals, for example, 211 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (43533).

2662880 is an apocalyptic number.

662880 is a gapful number since it is divisible by the number (60) 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 662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044792).

662880 is an abundant number, since it is smaller than the sum of its proper divisors (1426704).

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

662880 is a wasteful number, since it uses less digits than its factorization.

662880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 662880 is about 814.1744284857. The cubic root of 662880 is about 87.1923344270.

The spelling of 662880 in words is "six hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1381 2762 4143 5524 6905 8286 11048 13810 16572 20715 22096 27620 33144 41430 44192 55240 66288 82860 110480 132576 165720 220960 331440 662880