96617664 has 448 divisors, whose sum is σ = 368686080. Its totient is φ = 24330240.

The previous prime is 96617659. The next prime is 96617699. The reversal of 96617664 is 46671669.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4200757 + ... + 4200779.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 2^96617664 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 96617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

96617664 is an abundant number, since it is smaller than the sum of its proper divisors (272068416).

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

96617664 is a wasteful number, since it uses less digits than its factorization.

96617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 96617664 is about 9829.4284676170. The cubic root of 96617664 is about 458.8656106200.

The spelling of 96617664 in words is "ninety-six million, six hundred seventeen thousand, six hundred sixty-four".