97933968 has 160 divisors (see below), whose sum is σ = 315515520. Its totient is φ = 28823040.

The previous prime is 97933951. The next prime is 97933973. The reversal of 97933968 is 86933979.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 175546 + ... + 176102.

It is an arithmetic number, because the mean of its divisors is an integer number (1971972).

Almost surely, 2^97933968 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 97933968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

97933968 is an abundant number, since it is smaller than the sum of its proper divisors (217581552).

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

97933968 is a wasteful number, since it uses less digits than its factorization.

97933968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 97933968 is about 9896.1592549837. The cubic root of 97933968 is about 460.9400561681.

The spelling of 97933968 in words is "ninety-seven million, nine hundred thirty-three thousand, nine hundred sixty-eight".