89125632 has 108 divisors (see below), whose sum is σ = 260193024. Its totient is φ = 29337600.

The previous prime is 89125607. The next prime is 89125633. The reversal of 89125632 is 23652198.

89125632 is a `hidden beast` number, since 8 + 9 + 12 + 5 + 632 = 666.

It is a super-3 number, since 3×89125632³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89125633) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 232513 + ... + 232895.

Almost surely, 2^89125632 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 89125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130096512).

89125632 is an abundant number, since it is smaller than the sum of its proper divisors (171067392).

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

89125632 is a wasteful number, since it uses less digits than its factorization.

89125632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 89125632 is about 9440.6372666256. The cubic root of 89125632 is about 446.6844912567.

The spelling of 89125632 in words is "eighty-nine million, one hundred twenty-five thousand, six hundred thirty-two".