97920900 has 360 divisors, whose sum is σ = 398266176. Its totient is φ = 20217600.

The previous prime is 97920883. The next prime is 97920923. The reversal of 97920900 is 902979.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 623622 + ... + 623778.

Almost surely, 2^97920900 is an apocalyptic number.

97920900 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 97920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199133088).

97920900 is an abundant number, since it is smaller than the sum of its proper divisors (300345276).

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

97920900 is a wasteful number, since it uses less digits than its factorization.

97920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

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

The square root of 97920900 is about 9895.4989768076. The cubic root of 97920900 is about 460.9195531268.

The spelling of 97920900 in words is "ninety-seven million, nine hundred twenty thousand, nine hundred".