97606080 has 448 divisors, whose sum is σ = 409651200. Its totient is φ = 21565440.

The previous prime is 97606057. The next prime is 97606139. The reversal of 97606080 is 8060679.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235481 + ... + 1235559.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^97606080 is an apocalyptic number.

97606080 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 97606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

97606080 is an abundant number, since it is smaller than the sum of its proper divisors (312045120).

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

97606080 is a wasteful number, since it uses less digits than its factorization.

97606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97606080 is about 9879.5789383961. The cubic root of 97606080 is about 460.4250639346.

The spelling of 97606080 in words is "ninety-seven million, six hundred six thousand, eighty".