89972400 has 120 divisors (see below), whose sum is σ = 329415424. Its totient is φ = 20563200.

The previous prime is 89972387. The next prime is 89972411. The reversal of 89972400 is 427998.

It is a tau number, because it is divible by the number of its divisors (120).

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, 3045 + ... + 13755.

Almost surely, 2^89972400 is an apocalyptic number.

89972400 is a gapful number since it is divisible by the number (80) 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 89972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164707712).

89972400 is an abundant number, since it is smaller than the sum of its proper divisors (239443024).

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

89972400 is a wasteful number, since it uses less digits than its factorization.

89972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10728 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 89972400 is about 9485.3782212414. The cubic root of 89972400 is about 448.0946600569.

The spelling of 89972400 in words is "eighty-nine million, nine hundred seventy-two thousand, four hundred".