97528608 has 72 divisors (see below), whose sum is σ = 278371548. Its totient is φ = 32389632.

The previous prime is 97528597. The next prime is 97528649. The reversal of 97528608 is 80682579.

It can be written as a sum of positive squares in 2 ways, for example, as 94245264 + 3283344 = 9708^2 + 1812^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113910 + ... + 114762.

Almost surely, 2^97528608 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 97528608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139185774).

97528608 is an abundant number, since it is smaller than the sum of its proper divisors (180842940).

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

97528608 is a wasteful number, since it uses less digits than its factorization.

97528608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 97528608 is about 9875.6573452100. The cubic root of 97528608 is about 460.3032153364.

The spelling of 97528608 in words is "ninety-seven million, five hundred twenty-eight thousand, six hundred eight".