97968480 has 48 divisors (see below), whose sum is σ = 308602224. Its totient is φ = 26124800.

The previous prime is 97968457. The next prime is 97968499. The reversal of 97968480 is 8486979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 101571 + ... + 102530.

It is an arithmetic number, because the mean of its divisors is an integer number (6429213).

Almost surely, 2^97968480 is an apocalyptic number.

It is an amenable number.

97968480 is an abundant number, since it is smaller than the sum of its proper divisors (210633744).

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

97968480 is a wasteful number, since it uses less digits than its factorization.

97968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204119 (or 204111 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 97968480 is about 9897.9028081710. The cubic root of 97968480 is about 460.9941950104.

The spelling of 97968480 in words is "ninety-seven million, nine hundred sixty-eight thousand, four hundred eighty".