96878592 has 150 divisors (see below), whose sum is σ = 293395718. Its totient is φ = 31850496.

The previous prime is 96878581. The next prime is 96878641. The reversal of 96878592 is 29587869.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 11943936 = 9216^2 + 3456^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327068 + ... + 1327140.

Almost surely, 2^96878592 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 96878592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146697859).

96878592 is an abundant number, since it is smaller than the sum of its proper divisors (196517126).

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

96878592 is an frugal number, since it uses more digits than its factorization.

96878592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 96878592 is about 9842.6923146058. The cubic root of 96878592 is about 459.2783138457.

The spelling of 96878592 in words is "ninety-six million, eight hundred seventy-eight thousand, five hundred ninety-two".