89668320 has 96 divisors (see below), whose sum is σ = 322818048. Its totient is φ = 20494848.

The previous prime is 89668307. The next prime is 89668331. The reversal of 89668320 is 2386698.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×89668320² = 16080815223244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9984 + ... + 16703.

It is an arithmetic number, because the mean of its divisors is an integer number (3362688).

Almost surely, 2^89668320 is an apocalyptic number.

89668320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89668320 is an abundant number, since it is smaller than the sum of its proper divisors (233149728).

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

89668320 is a wasteful number, since it uses less digits than its factorization.

89668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26712 (or 26704 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 89668320 is about 9469.3357739601. The cubic root of 89668320 is about 447.5892813133.

The spelling of 89668320 in words is "eighty-nine million, six hundred sixty-eight thousand, three hundred twenty".