89115632 has 80 divisors (see below), whose sum is σ = 191800224. Its totient is φ = 39936000.

The previous prime is 89115601. The next prime is 89115641. The reversal of 89115632 is 23651198.

It is a junction number, because it is equal to n+sod(n) for n = 89115592 and 89115601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680207 + ... + 680337.

Almost surely, 2^89115632 is an apocalyptic number.

89115632 is a gapful number since it is divisible by the number (82) 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 89115632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95900112).

89115632 is an abundant number, since it is smaller than the sum of its proper divisors (102684592).

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

89115632 is a wasteful number, since it uses less digits than its factorization.

89115632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 89115632 is about 9440.1076265051. The cubic root of 89115632 is about 446.6677844580.

The spelling of 89115632 in words is "eighty-nine million, one hundred fifteen thousand, six hundred thirty-two".