74416560 has 80 divisors (see below), whose sum is σ = 232351200. Its totient is φ = 19701760.

The previous prime is 74416519. The next prime is 74416567. The reversal of 74416560 is 6561447.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (74416567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34720 + ... + 36800.

It is an arithmetic number, because the mean of its divisors is an integer number (2904390).

Almost surely, 2^74416560 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 74416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116175600).

74416560 is an abundant number, since it is smaller than the sum of its proper divisors (157934640).

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

74416560 is a wasteful number, since it uses less digits than its factorization.

74416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 74416560 is about 8626.5033472433. The cubic root of 74416560 is about 420.6199461487.

The spelling of 74416560 in words is "seventy-four million, four hundred sixteen thousand, five hundred sixty".