89688500 has 96 divisors (see below), whose sum is σ = 223292160. Its totient is φ = 31152000.

The previous prime is 89688449. The next prime is 89688509. The reversal of 89688500 is 588698.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89688509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126146 + ... + 126854.

It is an arithmetic number, because the mean of its divisors is an integer number (2325960).

Almost surely, 2^89688500 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 89688500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646080).

89688500 is an abundant number, since it is smaller than the sum of its proper divisors (133603660).

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

89688500 is a wasteful number, since it uses less digits than its factorization.

89688500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 89688500 is about 9470.4012586585. The cubic root of 89688500 is about 447.6228556913.

The spelling of 89688500 in words is "eighty-nine million, six hundred eighty-eight thousand, five hundred".