89125900 has 72 divisors (see below), whose sum is σ = 207174240. Its totient is φ = 33162240.

The previous prime is 89125889. The next prime is 89125937. The reversal of 89125900 is 952198.

89125900 = T₁₅₀₄ + T₁₅₀₅ + ... + T₁₅₇₈.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174846 + ... + 175354.

It is an arithmetic number, because the mean of its divisors is an integer number (2877420).

Almost surely, 2^89125900 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 89125900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103587120).

89125900 is an abundant number, since it is smaller than the sum of its proper divisors (118048340).

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

89125900 is a wasteful number, since it uses less digits than its factorization.

89125900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 89125900 is about 9440.6514605720. The cubic root of 89125900 is about 446.6849389817.

The spelling of 89125900 in words is "eighty-nine million, one hundred twenty-five thousand, nine hundred".