96074640 has 160 divisors (see below), whose sum is σ = 348489600. Its totient is φ = 24261120.

The previous prime is 96074623. The next prime is 96074669. The reversal of 96074640 is 4647069.

96074640 is a `hidden beast` number, since 9 + 6 + 0 + 7 + 4 + 640 = 666.

It is a super-2 number, since 2×96074640² = 18460672902259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96074595 and 96074604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39870 + ... + 42210.

It is an arithmetic number, because the mean of its divisors is an integer number (2178060).

Almost surely, 2^96074640 is an apocalyptic number.

96074640 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 96074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174244800).

96074640 is an abundant number, since it is smaller than the sum of its proper divisors (252414960).

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

96074640 is a wasteful number, since it uses less digits than its factorization.

96074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 96074640 is about 9801.7671876045. The cubic root of 96074640 is about 458.0043349894.

The spelling of 96074640 in words is "ninety-six million, seventy-four thousand, six hundred forty".