89904500 has 96 divisors (see below), whose sum is σ = 237758976. Its totient is φ = 28992000.

The previous prime is 89904499. The next prime is 89904569. The reversal of 89904500 is 540998.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58745 + ... + 60255.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^89904500 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 89904500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488).

89904500 is an abundant number, since it is smaller than the sum of its proper divisors (147854476).

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

89904500 is a wasteful number, since it uses less digits than its factorization.

89904500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 89904500 is about 9481.7983526333. The cubic root of 89904500 is about 447.9819096118.

The spelling of 89904500 in words is "eighty-nine million, nine hundred four thousand, five hundred".