96874560 has 84 divisors (see below), whose sum is σ = 333218028. Its totient is φ = 25832448.

The previous prime is 96874549. The next prime is 96874573. The reversal of 96874560 is 6547869.

96874560 is a `hidden beast` number, since 9 + 6 + 87 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18870336 + 78004224 = 4344^2 + 8832^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13939 + ... + 19698.

Almost surely, 2^96874560 is an apocalyptic number.

96874560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96874560 is an abundant number, since it is smaller than the sum of its proper divisors (236343468).

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

96874560 is a wasteful number, since it uses less digits than its factorization.

96874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33660 (or 33647 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96874560 is about 9842.4874904670. The cubic root of 96874560 is about 459.2719421736.

The spelling of 96874560 in words is "ninety-six million, eight hundred seventy-four thousand, five hundred sixty".