83388960 has 192 divisors, whose sum is σ = 296352000. Its totient is φ = 21897216.

The previous prime is 83388959. The next prime is 83388973. The reversal of 83388960 is 6988338.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418941 + ... + 419139.

It is an arithmetic number, because the mean of its divisors is an integer number (1543500).

Almost surely, 2^83388960 is an apocalyptic number.

83388960 is a gapful number since it is divisible by the number (80) 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 83388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000).

83388960 is an abundant number, since it is smaller than the sum of its proper divisors (212963040).

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

83388960 is a wasteful number, since it uses less digits than its factorization.

83388960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 83388960 is about 9131.7555814860. The cubic root of 83388960 is about 436.8873994897.

It can be divided in two parts, 83388 and 960, that added together give a palindrome (84348).

The spelling of 83388960 in words is "eighty-three million, three hundred eighty-eight thousand, nine hundred sixty".