89136960 has 224 divisors, whose sum is σ = 323039232. Its totient is φ = 20613120.

The previous prime is 89136919. The next prime is 89136989. The reversal of 89136960 is 6963198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242697 + ... + 243063.

Almost surely, 2^89136960 is an apocalyptic number.

89136960 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 89136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161519616).

89136960 is an abundant number, since it is smaller than the sum of its proper divisors (233902272).

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

89136960 is a wasteful number, since it uses less digits than its factorization.

89136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 89136960 is about 9441.2372070614. The cubic root of 89136960 is about 446.7034152087.

The spelling of 89136960 in words is "eighty-nine million, one hundred thirty-six thousand, nine hundred sixty".