89919600 has 60 divisors (see below), whose sum is σ = 288046296. Its totient is φ = 23978240.

The previous prime is 89919589. The next prime is 89919607. The reversal of 89919600 is 691998.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89919607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36267 + ... + 38666.

Almost surely, 2^89919600 is an apocalyptic number.

89919600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89919600 is an abundant number, since it is smaller than the sum of its proper divisors (198126696).

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

89919600 is a wasteful number, since it uses less digits than its factorization.

89919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74954 (or 74943 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 89919600 is about 9482.5945816533. The cubic root of 89919600 is about 448.0069886240.

The spelling of 89919600 in words is "eighty-nine million, nine hundred nineteen thousand, six hundred".