89708400 has 90 divisors (see below), whose sum is σ = 311325560. Its totient is φ = 23921280.

The previous prime is 89708393. The next prime is 89708401. The reversal of 89708400 is 480798.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89708401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8860 + ... + 16059.

Almost surely, 2^89708400 is an apocalyptic number.

89708400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89708400 is an abundant number, since it is smaller than the sum of its proper divisors (221617160).

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

89708400 is a wasteful number, since it uses less digits than its factorization.

89708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24943 (or 24929 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 89708400 is about 9471.4518422468. The cubic root of 89708400 is about 447.6559592891.

The spelling of 89708400 in words is "eighty-nine million, seven hundred eight thousand, four hundred".