96892560 has 120 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 24710400.

The previous prime is 96892547. The next prime is 96892589. The reversal of 96892560 is 6529869.

96892560 is a `hidden beast` number, since 9 + 6 + 89 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13635 + ... + 19485.

Almost surely, 2^96892560 is an apocalyptic number.

96892560 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 96892560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

96892560 is an abundant number, since it is smaller than the sum of its proper divisors (242710704).

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

96892560 is a wasteful number, since it uses less digits than its factorization.

96892560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 96892560 is about 9843.4018509863. The cubic root of 96892560 is about 459.3003857712.

It can be divided in two parts, 968 and 92560, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 96892560 in words is "ninety-six million, eight hundred ninety-two thousand, five hundred sixty".