96608736 has 144 divisors (see below), whose sum is σ = 316933344. Its totient is φ = 27343872.

The previous prime is 96608719. The next prime is 96608779. The reversal of 96608736 is 63780669.

96608736 is a `hidden beast` number, since 9 + 6 + 608 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 96608691 and 96608700.

It is a congruent number.

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, 348630 + ... + 348906.

It is an arithmetic number, because the mean of its divisors is an integer number (2200926).

Almost surely, 2^96608736 is an apocalyptic number.

96608736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96608736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158466672).

96608736 is an abundant number, since it is smaller than the sum of its proper divisors (220324608).

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

96608736 is a wasteful number, since it uses less digits than its factorization.

96608736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

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

The square root of 96608736 is about 9828.9743106796. The cubic root of 96608736 is about 458.8514762882.

It can be divided in two parts, 96608 and 736, that added together give a square (97344 = 312²).

The spelling of 96608736 in words is "ninety-six million, six hundred eight thousand, seven hundred thirty-six".