97601632 has 48 divisors (see below), whose sum is σ = 203439600. Its totient is φ = 45964800.

The previous prime is 97601611. The next prime is 97601663. The reversal of 97601632 is 23610679.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138882 + ... + 139582.

It is an arithmetic number, because the mean of its divisors is an integer number (4238325).

Almost surely, 2^97601632 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 97601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101719800).

97601632 is an abundant number, since it is smaller than the sum of its proper divisors (105837968).

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

97601632 is a wasteful number, since it uses less digits than its factorization.

97601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 97601632 is about 9879.3538250232. The cubic root of 97601632 is about 460.4180698287.

The spelling of 97601632 in words is "ninety-seven million, six hundred one thousand, six hundred thirty-two".