89413632 has 360 divisors, whose sum is σ = 338918580. Its totient is φ = 23224320.

The previous prime is 89413631. The next prime is 89413633. The reversal of 89413632 is 23631498.

89413632 is a `hidden beast` number, since 8 + 9 + 4 + 13 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (89413631) and next prime (89413633).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89413631) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128507 + ... + 8128517.

Almost surely, 2^89413632 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 89413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169459290).

89413632 is an abundant number, since it is smaller than the sum of its proper divisors (249504948).

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

89413632 is a wasteful number, since it uses less digits than its factorization.

89413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 89413632 is about 9455.8781718040. The cubic root of 89413632 is about 447.1651117439.

The spelling of 89413632 in words is "eighty-nine million, four hundred thirteen thousand, six hundred thirty-two".