89633920 has 32 divisors (see below), whose sum is σ = 214282620. Its totient is φ = 35853312.

The previous prime is 89633909. The next prime is 89633923. The reversal of 89633920 is 2933698.

It can be written as a sum of positive squares in 2 ways, for example, as 86564416 + 3069504 = 9304^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×89633920² = 16068479229132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (89633923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69387 + ... + 70666.

Almost surely, 2^89633920 is an apocalyptic number.

89633920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89633920 is an abundant number, since it is smaller than the sum of its proper divisors (124648700).

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

89633920 is a wasteful number, since it uses less digits than its factorization.

89633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140072 (or 140060 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 89633920 is about 9467.5192104373. The cubic root of 89633920 is about 447.5320368646.

The spelling of 89633920 in words is "eighty-nine million, six hundred thirty-three thousand, nine hundred twenty".