97968720 has 40 divisors (see below), whose sum is σ = 303703776. Its totient is φ = 26124928.

The previous prime is 97968697. The next prime is 97968737. The reversal of 97968720 is 2786979.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97968720.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 203862 + ... + 204341.

Almost surely, 2^97968720 is an apocalyptic number.

It is an amenable number.

97968720 is an abundant number, since it is smaller than the sum of its proper divisors (205735056).

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

97968720 is a wasteful number, since it uses less digits than its factorization.

97968720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408219 (or 408213 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 97968720 is about 9897.9149319440. The cubic root of 97968720 is about 460.9945714529.

The spelling of 97968720 in words is "ninety-seven million, nine hundred sixty-eight thousand, seven hundred twenty".