97566720 has 120 divisors (see below), whose sum is σ = 312990384. Its totient is φ = 25952256.

The previous prime is 97566719. The next prime is 97566739. The reversal of 97566720 is 2766579.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245562 + ... + 245958.

Almost surely, 2^97566720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156495192).

97566720 is an abundant number, since it is smaller than the sum of its proper divisors (215423664).

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

97566720 is an equidigital number, since it uses as much as digits as its factorization.

97566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 97566720 is about 9877.5867498089. The cubic root of 97566720 is about 460.3631662638.

The spelling of 97566720 in words is "ninety-seven million, five hundred sixty-six thousand, seven hundred twenty".