97390800 has 180 divisors, whose sum is σ = 364145964. Its totient is φ = 23961600.

The previous prime is 97390781. The next prime is 97390801. The reversal of 97390800 is 809379.

It can be written as a sum of positive squares in 6 ways, for example, as 14653584 + 82737216 = 3828^2 + 9096^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97390801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45760 + ... + 47840.

Almost surely, 2^97390800 is an apocalyptic number.

97390800 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 97390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182072982).

97390800 is an abundant number, since it is smaller than the sum of its proper divisors (266755164).

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

97390800 is a wasteful number, since it uses less digits than its factorization.

97390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97390800 is about 9868.6777229779. The cubic root of 97390800 is about 460.0863102065.

The spelling of 97390800 in words is "ninety-seven million, three hundred ninety thousand, eight hundred".