96538624 has 156 divisors (see below), whose sum is σ = 248383884. Its totient is φ = 37158912.

The previous prime is 96538609. The next prime is 96538643. The reversal of 96538624 is 42683569.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 45158400 = 7168^2 + 6720^2 .

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, 2609134 + ... + 2609170.

Almost surely, 2^96538624 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 96538624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124191942).

96538624 is an abundant number, since it is smaller than the sum of its proper divisors (151845260).

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

96538624 is a wasteful number, since it uses less digits than its factorization.

96538624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 96538624 is about 9825.4070653587. The cubic root of 96538624 is about 458.7404484396.

The spelling of 96538624 in words is "ninety-six million, five hundred thirty-eight thousand, six hundred twenty-four".