89415900 has 360 divisors, whose sum is σ = 352894080. Its totient is φ = 19128960.

The previous prime is 89415889. The next prime is 89415901. The reversal of 89415900 is 951498.

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 (89415901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1077259 + ... + 1077341.

Almost surely, 2^89415900 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 89415900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

89415900 is an abundant number, since it is smaller than the sum of its proper divisors (263478180).

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

89415900 is a wasteful number, since it uses less digits than its factorization.

89415900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89415900 is about 9455.9980964465. The cubic root of 89415900 is about 447.1688925317.

Adding to 89415900 its sum of digits (36), we get a square (89415936 = 9456²).

It can be divided in two parts, 8941 and 5900, that added together give a palindrome (14841).

The spelling of 89415900 in words is "eighty-nine million, four hundred fifteen thousand, nine hundred".