90979200 has 384 divisors, whose sum is σ = 362997600. Its totient is φ = 22394880.

The previous prime is 90979171. The next prime is 90979219. The reversal of 90979200 is 297909.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6998394 + ... + 6998406.

Almost surely, 2^90979200 is an apocalyptic number.

90979200 is a gapful number since it is divisible by the number (90) 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 90979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181498800).

90979200 is an abundant number, since it is smaller than the sum of its proper divisors (272018400).

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

90979200 is an equidigital number, since it uses as much as digits as its factorization.

90979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 90979200 is about 9538.3017356341. The cubic root of 90979200 is about 449.7598718861.

The spelling of 90979200 in words is "ninety million, nine hundred seventy-nine thousand, two hundred".