97648640 has 72 divisors (see below), whose sum is σ = 235928700. Its totient is φ = 38797312.

The previous prime is 97648637. The next prime is 97648651. The reversal of 97648640 is 4684679.

It can be written as a sum of positive squares in 2 ways, for example, as 89718784 + 7929856 = 9472^2 + 2816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97648591 and 97648600.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 655286 + ... + 655434.

Almost surely, 2^97648640 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 97648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117964350).

97648640 is an abundant number, since it is smaller than the sum of its proper divisors (138280060).

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

97648640 is an frugal number, since it uses more digits than its factorization.

97648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 97648640 is about 9881.7326415968. The cubic root of 97648640 is about 460.4919752146.

The spelling of 97648640 in words is "ninety-seven million, six hundred forty-eight thousand, six hundred forty".