96305664 has 240 divisors, whose sum is σ = 323497152. Its totient is φ = 24920064.

The previous prime is 96305659. The next prime is 96305683. The reversal of 96305664 is 46650369.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1817062 + ... + 1817114.

Almost surely, 2^96305664 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 96305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161748576).

96305664 is an abundant number, since it is smaller than the sum of its proper divisors (227191488).

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

96305664 is a wasteful number, since it uses less digits than its factorization.

96305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 96305664 is about 9813.5449252551. The cubic root of 96305664 is about 458.3711515094.

It can be divided in two parts, 96305 and 664, that added together give a palindrome (96969).

The spelling of 96305664 in words is "ninety-six million, three hundred five thousand, six hundred sixty-four".