89068032 has 160 divisors (see below), whose sum is σ = 279892800. Its totient is φ = 27869184.

The previous prime is 89068013. The next prime is 89068033. The reversal of 89068032 is 23086098.

It is a super-2 number, since 2×89068032² = 15866228648706048, which contains 22 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 (89068033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234819 + ... + 235197.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330).

Almost surely, 2^89068032 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 89068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139946400).

89068032 is an abundant number, since it is smaller than the sum of its proper divisors (190824768).

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

89068032 is a wasteful number, since it uses less digits than its factorization.

89068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89068032 is about 9437.5861320573. The cubic root of 89068032 is about 446.5882429578.

The spelling of 89068032 in words is "eighty-nine million, sixty-eight thousand, thirty-two".