97606368 has 72 divisors (see below), whose sum is σ = 278977608. Its totient is φ = 32370432.

The previous prime is 97606361. The next prime is 97606387. The reversal of 97606368 is 86360679.

97606368 is a `hidden beast` number, since 9 + 7 + 6 + 0 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97606361) 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 11 ways as a sum of consecutive naturals, for example, 64630 + ... + 66122.

It is an arithmetic number, because the mean of its divisors is an integer number (3874689).

Almost surely, 2^97606368 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 97606368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139488804).

97606368 is an abundant number, since it is smaller than the sum of its proper divisors (181371240).

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

97606368 is a wasteful number, since it uses less digits than its factorization.

97606368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 97606368 is about 9879.5935139053. The cubic root of 97606368 is about 460.4255167831.

The spelling of 97606368 in words is "ninety-seven million, six hundred six thousand, three hundred sixty-eight".