97264608 has 288 divisors, whose sum is σ = 330946560. Its totient is φ = 24837120.

The previous prime is 97264597. The next prime is 97264619. The reversal of 97264608 is 80646279.

It is an interprime number because it is at equal distance from previous prime (97264597) and next prime (97264619).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 97264608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3137553 + ... + 3137583.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^97264608 is an apocalyptic number.

97264608 is a gapful number since it is divisible by the number (98) 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 97264608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

97264608 is an abundant number, since it is smaller than the sum of its proper divisors (233681952).

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

97264608 is a wasteful number, since it uses less digits than its factorization.

97264608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 97264608 is about 9862.2820888474. The cubic root of 97264608 is about 459.8875087248.

The spelling of 97264608 in words is "ninety-seven million, two hundred sixty-four thousand, six hundred eight".