97590816 has 36 divisors (see below), whose sum is σ = 277524702. Its totient is φ = 32530176.

The previous prime is 97590811. The next prime is 97590881. The reversal of 97590816 is 61809579.

It can be written as a sum of positive squares in only one way, i.e., 54819216 + 42771600 = 7404^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (97590811) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 169141 + ... + 169716.

Almost surely, 2^97590816 is an apocalyptic number.

97590816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97590816 is an abundant number, since it is smaller than the sum of its proper divisors (179933886).

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

97590816 is a wasteful number, since it uses less digits than its factorization.

97590816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338873 (or 338862 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 97590816 is about 9878.8064056342. The cubic root of 97590816 is about 460.4010616916.

The spelling of 97590816 in words is "ninety-seven million, five hundred ninety thousand, eight hundred sixteen".