89951160 has 192 divisors, whose sum is σ = 306583200. Its totient is φ = 20984832.

The previous prime is 89951129. The next prime is 89951201. The reversal of 89951160 is 6115998.

It is a super-2 number, since 2×89951160² = 16182422370691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825186 + ... + 825294.

Almost surely, 2^89951160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89951160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153291600).

89951160 is an abundant number, since it is smaller than the sum of its proper divisors (216632040).

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

89951160 is a wasteful number, since it uses less digits than its factorization.

89951160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 89951160 is about 9484.2585371762. The cubic root of 89951160 is about 448.0593963553.

The spelling of 89951160 in words is "eighty-nine million, nine hundred fifty-one thousand, one hundred sixty".