96596640 has 324 divisors, whose sum is σ = 394097886. Its totient is φ = 21482496.

The previous prime is 96596543. The next prime is 96596653. The reversal of 96596640 is 4669569.

It can be written as a sum of positive squares in 3 ways, for example, as 96589584 + 7056 = 9828^2 + 84^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2610702 + ... + 2610738.

Almost surely, 2^96596640 is an apocalyptic number.

96596640 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 96596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197048943).

96596640 is an abundant number, since it is smaller than the sum of its proper divisors (297501246).

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

96596640 is a wasteful number, since it uses less digits than its factorization.

96596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 96596640 is about 9828.3589678033. The cubic root of 96596640 is about 458.8323251591.

The spelling of 96596640 in words is "ninety-six million, five hundred ninety-six thousand, six hundred forty".