97398800 has 60 divisors (see below), whose sum is σ = 240361476. Its totient is φ = 37900800.

The previous prime is 97398787. The next prime is 97398811. The reversal of 97398800 is 889379.

It can be written as a sum of positive squares in 6 ways, for example, as 258064 + 97140736 = 508^2 + 9856^2 .

It is a congruent number.

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, 11510 + ... + 18090.

Almost surely, 2^97398800 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 97398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120180738).

97398800 is an abundant number, since it is smaller than the sum of its proper divisors (142962676).

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

97398800 is a wasteful number, since it uses less digits than its factorization.

97398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 97398800 is about 9869.0830374458. The cubic root of 97398800 is about 460.0989075282.

The spelling of 97398800 in words is "ninety-seven million, three hundred ninety-eight thousand, eight hundred".