97996800 has 312 divisors, whose sum is σ = 365646240. Its totient is φ = 22937600.

The previous prime is 97996799. The next prime is 97996837. The reversal of 97996800 is 869979.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97996800.

It is a congruent number.

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, 3379186 + ... + 3379214.

Almost surely, 2^97996800 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 97996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182823120).

97996800 is an abundant number, since it is smaller than the sum of its proper divisors (267649440).

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

97996800 is a wasteful number, since it uses less digits than its factorization.

97996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 97996800 is about 9899.3333108851. Note that the first 4 decimals coincide. The cubic root of 97996800 is about 461.0386109893.

It can be divided in two parts, 979 and 96800, that added together give a palindrome (97779).

The spelling of 97996800 in words is "ninety-seven million, nine hundred ninety-six thousand, eight hundred".