97528640 has 112 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 34990080.

The previous prime is 97528597. The next prime is 97528649. The reversal of 97528640 is 4682579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97528649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362426 + ... + 362694.

Almost surely, 2^97528640 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 97528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

97528640 is an abundant number, since it is smaller than the sum of its proper divisors (159234880).

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

97528640 is a wasteful number, since it uses less digits than its factorization.

97528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 97528640 is about 9875.6589653552. The cubic root of 97528640 is about 460.3032656796.

The spelling of 97528640 in words is "ninety-seven million, five hundred twenty-eight thousand, six hundred forty".