89516160 has 96 divisors (see below), whose sum is σ = 309130380. Its totient is φ = 23869440.

The previous prime is 89516149. The next prime is 89516179. The reversal of 89516160 is 6161598.

89516160 is a `hidden beast` number, since 89 + 516 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88962624 + 553536 = 9432^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×89516160² = 16026285802291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2011 + ... + 13530.

Almost surely, 2^89516160 is an apocalyptic number.

89516160 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 89516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154565190).

89516160 is an abundant number, since it is smaller than the sum of its proper divisors (219614220).

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

89516160 is a wasteful number, since it uses less digits than its factorization.

89516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15566 (or 15551 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89516160 is about 9461.2980082016. The cubic root of 89516160 is about 447.3359635142.

It can be divided in two parts, 89516 and 160, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 89516160 in words is "eighty-nine million, five hundred sixteen thousand, one hundred sixty".