96579840 has 144 divisors (see below), whose sum is σ = 352614528. Its totient is φ = 22069248.

The previous prime is 96579827. The next prime is 96579851. The reversal of 96579840 is 4897569.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96579840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25084 + ... + 28676.

It is an arithmetic number, because the mean of its divisors is an integer number (2448712).

Almost surely, 2^96579840 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 96579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176307264).

96579840 is an abundant number, since it is smaller than the sum of its proper divisors (256034688).

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

96579840 is a wasteful number, since it uses less digits than its factorization.

96579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 96579840 is about 9827.5042610014. The cubic root of 96579840 is about 458.8057237163.

The spelling of 96579840 in words is "ninety-six million, five hundred seventy-nine thousand, eight hundred forty".