89972904 has 128 divisors (see below), whose sum is σ = 275097600. Its totient is φ = 23950080.

The previous prime is 89972887. The next prime is 89972917. The reversal of 89972904 is 40927998.

It is a happy 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, 226434 + ... + 226830.

It is an arithmetic number, because the mean of its divisors is an integer number (2149200).

Almost surely, 2^89972904 is an apocalyptic number.

89972904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89972904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137548800).

89972904 is an abundant number, since it is smaller than the sum of its proper divisors (185124696).

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

89972904 is a wasteful number, since it uses less digits than its factorization.

89972904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 89972904 is about 9485.4047884105. The cubic root of 89972904 is about 448.0954967553.

The spelling of 89972904 in words is "eighty-nine million, nine hundred seventy-two thousand, nine hundred four".