96879216 has 160 divisors (see below), whose sum is σ = 301694976. Its totient is φ = 26208000.

The previous prime is 96879203. The next prime is 96879217. The reversal of 96879216 is 61297869.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96879217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739471 + ... + 739601.

Almost surely, 2^96879216 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 96879216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847488).

96879216 is an abundant number, since it is smaller than the sum of its proper divisors (204815760).

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

96879216 is a wasteful number, since it uses less digits than its factorization.

96879216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 96879216 is about 9842.7240131988. The cubic root of 96879216 is about 459.2792999220.

The spelling of 96879216 in words is "ninety-six million, eight hundred seventy-nine thousand, two hundred sixteen".