97666560 has 240 divisors, whose sum is σ = 353008656. Its totient is φ = 25878528.

The previous prime is 97666559. The next prime is 97666567. The reversal of 97666560 is 6566679.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97666567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622002 + ... + 622158.

Almost surely, 2^97666560 is an apocalyptic number.

97666560 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 97666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504328).

97666560 is an abundant number, since it is smaller than the sum of its proper divisors (255342096).

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

97666560 is an equidigital number, since it uses as much as digits as its factorization.

97666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 97666560 is about 9882.6393235815. The cubic root of 97666560 is about 460.5201425687.

The spelling of 97666560 in words is "ninety-seven million, six hundred sixty-six thousand, five hundred sixty".