97940400 has 120 divisors (see below), whose sum is σ = 332259984. Its totient is φ = 24576000.

The previous prime is 97940393. The next prime is 97940419. The reversal of 97940400 is 404979.

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, 18000 + ... + 22800.

Almost surely, 2^97940400 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 97940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166129992).

97940400 is an abundant number, since it is smaller than the sum of its proper divisors (234319584).

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

97940400 is a wasteful number, since it uses less digits than its factorization.

97940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4828 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 97940400 is about 9896.4842242081. The cubic root of 97940400 is about 460.9501469861.

The spelling of 97940400 in words is "ninety-seven million, nine hundred forty thousand, four hundred".