96879672 has 64 divisors (see below), whose sum is σ = 270036000. Its totient is φ = 32182272.

The previous prime is 96879667. The next prime is 96879677. The reversal of 96879672 is 27697869.

It is an interprime number because it is at equal distance from previous prime (96879667) and next prime (96879677).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96879677) 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 15 ways as a sum of consecutive naturals, for example, 83448 + ... + 84600.

Almost surely, 2^96879672 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 96879672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135018000).

96879672 is an abundant number, since it is smaller than the sum of its proper divisors (173156328).

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

96879672 is a wasteful number, since it uses less digits than its factorization.

96879672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1547 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 96879672 is about 9842.7471774906. The cubic root of 96879672 is about 459.2800205135.

The spelling of 96879672 in words is "ninety-six million, eight hundred seventy-nine thousand, six hundred seventy-two".