96322624 has 56 divisors (see below), whose sum is σ = 197921880. Its totient is φ = 46485504.

The previous prime is 96322621. The next prime is 96322627. The reversal of 96322624 is 42622369.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96322621) and next prime (96322627).

It can be written as a sum of positive squares in 4 ways, for example, as 14745600 + 81577024 = 3840^2 + 9032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96322624.

It is not an unprimeable number, because it can be changed into a prime (96322621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247422 + ... + 247810.

Almost surely, 2^96322624 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 96322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960940).

96322624 is an abundant number, since it is smaller than the sum of its proper divisors (101599256).

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

96322624 is a wasteful number, since it uses less digits than its factorization.

96322624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 517 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 96322624 is about 9814.4089990177. The cubic root of 96322624 is about 458.3980572250.

The spelling of 96322624 in words is "ninety-six million, three hundred twenty-two thousand, six hundred twenty-four".