97456320 has 336 divisors, whose sum is σ = 382767840. Its totient is φ = 22560768.

The previous prime is 97456309. The next prime is 97456351. The reversal of 97456320 is 2365479.

97456320 is a `hidden beast` number, since 9 + 74 + 563 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711292 + ... + 711428.

It is an arithmetic number, because the mean of its divisors is an integer number (1139190).

Almost surely, 2^97456320 is an apocalyptic number.

97456320 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 97456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191383920).

97456320 is an abundant number, since it is smaller than the sum of its proper divisors (285311520).

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

97456320 is a wasteful number, since it uses less digits than its factorization.

97456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

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

The square root of 97456320 is about 9871.9967585084. The cubic root of 97456320 is about 460.1894619675.

The spelling of 97456320 in words is "ninety-seven million, four hundred fifty-six thousand, three hundred twenty".