96846816 has 48 divisors (see below), whose sum is σ = 277337088. Its totient is φ = 29347200.

The previous prime is 96846803. The next prime is 96846829. The reversal of 96846816 is 61864869.

It is an interprime number because it is at equal distance from previous prime (96846803) and next prime (96846829).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 44800 + ... + 46911.

It is an arithmetic number, because the mean of its divisors is an integer number (5777856).

Almost surely, 2^96846816 is an apocalyptic number.

96846816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96846816 is an abundant number, since it is smaller than the sum of its proper divisors (180490272).

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

96846816 is a wasteful number, since it uses less digits than its factorization.

96846816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91735 (or 91727 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 96846816 is about 9841.0779897326. The cubic root of 96846816 is about 459.2280942072.

The spelling of 96846816 in words is "ninety-six million, eight hundred forty-six thousand, eight hundred sixteen".