97664400 has 120 divisors (see below), whose sum is σ = 347651360. Its totient is φ = 26040960.

The previous prime is 97664387. The next prime is 97664401. The reversal of 97664400 is 446679.

97664400 is a `hidden beast` number, since 9 + 7 + 6 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97664401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6279 + ... + 15321.

Almost surely, 2^97664400 is an apocalyptic number.

97664400 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 97664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173825680).

97664400 is an abundant number, since it is smaller than the sum of its proper divisors (249986960).

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

97664400 is a wasteful number, since it uses less digits than its factorization.

97664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 97664400 is about 9882.5300404299. The cubic root of 97664400 is about 460.5167475792.

The spelling of 97664400 in words is "ninety-seven million, six hundred sixty-four thousand, four hundred".