97200840 has 64 divisors (see below), whose sum is σ = 318116160. Its totient is φ = 23563520.

The previous prime is 97200839. The next prime is 97200863. The reversal of 97200840 is 4800279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 97200798 and 97200807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35499 + ... + 38138.

It is an arithmetic number, because the mean of its divisors is an integer number (4970565).

Almost surely, 2^97200840 is an apocalyptic number.

It is an amenable number.

97200840 is an abundant number, since it is smaller than the sum of its proper divisors (220915320).

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

97200840 is a wasteful number, since it uses less digits than its factorization.

97200840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73662 (or 73658 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 97200840 is about 9859.0486356443. The cubic root of 97200840 is about 459.7869839178.

The spelling of 97200840 in words is "ninety-seven million, two hundred thousand, eight hundred forty".