96957216 has 96 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 32124672.

The previous prime is 96957199. The next prime is 96957221. The reversal of 96957216 is 61275969.

It is a happy number.

96957216 is a `hidden beast` number, since 9 + 69 + 572 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252961 + ... + 253343.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^96957216 is an apocalyptic number.

96957216 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 96957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

96957216 is an abundant number, since it is smaller than the sum of its proper divisors (187540704).

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

96957216 is a wasteful number, since it uses less digits than its factorization.

96957216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 96957216 is about 9846.6855337215. The cubic root of 96957216 is about 459.4025261307.

It can be divided in two parts, 969 and 57216, that added together give a palindrome (58185).

The spelling of 96957216 in words is "ninety-six million, nine hundred fifty-seven thousand, two hundred sixteen".