96930624 has 84 divisors (see below), whose sum is σ = 298362624. Its totient is φ = 27691776.

The previous prime is 96930611. The next prime is 96930629. The reversal of 96930624 is 42603969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96930629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4257 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (3551936).

Almost surely, 2^96930624 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 96930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149181312).

96930624 is an abundant number, since it is smaller than the sum of its proper divisors (201432000).

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

96930624 is a wasteful number, since it uses less digits than its factorization.

96930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 96930624 is about 9845.3351390392. The cubic root of 96930624 is about 459.3605228998.

The spelling of 96930624 in words is "ninety-six million, nine hundred thirty thousand, six hundred twenty-four".