89525760 has 80 divisors (see below), whose sum is σ = 286227216. Its totient is φ = 23871488.

The previous prime is 89525759. The next prime is 89525767. The reversal of 89525760 is 6752598.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89525767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1852 + ... + 13508.

Almost surely, 2^89525760 is an apocalyptic number.

89525760 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 89525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113608).

89525760 is an abundant number, since it is smaller than the sum of its proper divisors (196701456).

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

89525760 is a wasteful number, since it uses less digits than its factorization.

89525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11667 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 89525760 is about 9461.8053245668. The cubic root of 89525760 is about 447.3519541902.

The spelling of 89525760 in words is "eighty-nine million, five hundred twenty-five thousand, seven hundred sixty".