96439680 has 128 divisors (see below), whose sum is σ = 341618400. Its totient is φ = 25712640.

The previous prime is 96439663. The next prime is 96439697. The reversal of 96439680 is 8693469.

It is an interprime number because it is at equal distance from previous prime (96439663) and next prime (96439697).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×96439680² = 18601223757004800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 14490 + ... + 20070.

Almost surely, 2^96439680 is an apocalyptic number.

96439680 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 96439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170809200).

96439680 is an abundant number, since it is smaller than the sum of its proper divisors (245178720).

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

96439680 is a wasteful number, since it uses less digits than its factorization.

96439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 96439680 is about 9820.3706651022. The cubic root of 96439680 is about 458.5836713600.

The spelling of 96439680 in words is "ninety-six million, four hundred thirty-nine thousand, six hundred eighty".