97564320 has 144 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 22298112.

The previous prime is 97564303. The next prime is 97564333. The reversal of 97564320 is 2346579.

97564320 is a `hidden beast` number, since 9 + 7 + 5 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5241 + ... + 14919.

It is an arithmetic number, because the mean of its divisors is an integer number (2642640).

Almost surely, 2^97564320 is an apocalyptic number.

97564320 is a gapful number since it is divisible by the number (90) 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 97564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

97564320 is an abundant number, since it is smaller than the sum of its proper divisors (282975840).

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

97564320 is a wasteful number, since it uses less digits than its factorization.

97564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9707 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 97564320 is about 9877.4652618979. The cubic root of 97564320 is about 460.3593914772.

The spelling of 97564320 in words is "ninety-seven million, five hundred sixty-four thousand, three hundred twenty".