97256064 has 64 divisors (see below), whose sum is σ = 259683840. Its totient is φ = 32249856.

The previous prime is 97256051. The next prime is 97256087. The reversal of 97256064 is 46065279.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88929 + ... + 90015.

It is an arithmetic number, because the mean of its divisors is an integer number (4057560).

Almost surely, 2^97256064 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 97256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129841920).

97256064 is an abundant number, since it is smaller than the sum of its proper divisors (162427776).

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

97256064 is a wasteful number, since it uses less digits than its factorization.

97256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 97256064 is about 9861.8489138701. The cubic root of 97256064 is about 459.8740423879.

The spelling of 97256064 in words is "ninety-seven million, two hundred fifty-six thousand, sixty-four".