96079680 has 168 divisors, whose sum is σ = 335734152. Its totient is φ = 25214976.

The previous prime is 96079679. The next prime is 96079693. The reversal of 96079680 is 8697069.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 68956416 = 5208^2 + 8304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210012 + ... + 210468.

Almost surely, 2^96079680 is an apocalyptic number.

96079680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167867076).

96079680 is an abundant number, since it is smaller than the sum of its proper divisors (239654472).

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

96079680 is a wasteful number, since it uses less digits than its factorization.

96079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 96079680 is about 9802.0242807290. The cubic root of 96079680 is about 458.0123436984.

The spelling of 96079680 in words is "ninety-six million, seventy-nine thousand, six hundred eighty".