97296400 has 60 divisors (see below), whose sum is σ = 236790400. Its totient is φ = 38413440.

The previous prime is 97296391. The next prime is 97296413. The reversal of 97296400 is 469279.

It is a self number, because there is not a number n which added to its sum of digits gives 97296400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30061 + ... + 33139.

Almost surely, 2^97296400 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 97296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118395200).

97296400 is an abundant number, since it is smaller than the sum of its proper divisors (139494000).

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

97296400 is a wasteful number, since it uses less digits than its factorization.

97296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 97296400 is about 9863.8937544968. The cubic root of 97296400 is about 459.9376096858.

It can be divided in two parts, 9729 and 6400, that added together give a square (16129 = 127²).

The spelling of 97296400 in words is "ninety-seven million, two hundred ninety-six thousand, four hundred".