96720624 has 360 divisors, whose sum is σ = 372191456. Its totient is φ = 22809600.

The previous prime is 96720623. The next prime is 96720629. The reversal of 96720624 is 42602769.

It is a happy number.

96720624 is a `hidden beast` number, since 9 + 6 + 7 + 20 + 624 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96720623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1585554 + ... + 1585614.

Almost surely, 2^96720624 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 96720624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186095728).

96720624 is an abundant number, since it is smaller than the sum of its proper divisors (275470832).

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

96720624 is a wasteful number, since it uses less digits than its factorization.

96720624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 96720624 is about 9834.6644070858. The cubic root of 96720624 is about 459.0285484970.

It can be divided in two parts, 96720 and 624, that added together give a square (97344 = 312²).

The spelling of 96720624 in words is "ninety-six million, seven hundred twenty thousand, six hundred twenty-four".