74580640 has 48 divisors (see below), whose sum is σ = 180510120. Its totient is φ = 29102080.

The previous prime is 74580617. The next prime is 74580647. The reversal of 74580640 is 4608547.

It can be written as a sum of positive squares in 4 ways, for example, as 43086096 + 31494544 = 6564^2 + 5612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74580596 and 74580605.

It is not an unprimeable number, because it can be changed into a prime (74580647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876 + ... + 12244.

Almost surely, 2^74580640 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 74580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90255060).

74580640 is an abundant number, since it is smaller than the sum of its proper divisors (105929480).

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

74580640 is a wasteful number, since it uses less digits than its factorization.

74580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 74580640 is about 8636.0083371891. The cubic root of 74580640 is about 420.9288588386.

The spelling of 74580640 in words is "seventy-four million, five hundred eighty thousand, six hundred forty".