96965856 has 192 divisors, whose sum is σ = 311169600. Its totient is φ = 29196288.

The previous prime is 96965849. The next prime is 96965857. The reversal of 96965856 is 65856969.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96965857) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 999600 + ... + 999696.

It is an arithmetic number, because the mean of its divisors is an integer number (1620675).

Almost surely, 2^96965856 is an apocalyptic number.

96965856 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 96965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155584800).

96965856 is an abundant number, since it is smaller than the sum of its proper divisors (214203744).

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

96965856 is a wasteful number, since it uses less digits than its factorization.

96965856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 96965856 is about 9847.1242502570. The cubic root of 96965856 is about 459.4161717368.

The spelling of 96965856 in words is "ninety-six million, nine hundred sixty-five thousand, eight hundred fifty-six".