74589840 has 180 divisors, whose sum is σ = 271691316. Its totient is φ = 18330624.

The previous prime is 74589811. The next prime is 74589841. The reversal of 74589840 is 4898547.

It can be written as a sum of positive squares in 6 ways, for example, as 40297104 + 34292736 = 6348^2 + 5856^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (74589841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121374 + ... + 121986.

Almost surely, 2^74589840 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 74589840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135845658).

74589840 is an abundant number, since it is smaller than the sum of its proper divisors (197101476).

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

74589840 is a wasteful number, since it uses less digits than its factorization.

74589840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 74589840 is about 8636.5409742558. The cubic root of 74589840 is about 420.9461662179.

The spelling of 74589840 in words is "seventy-four million, five hundred eighty-nine thousand, eight hundred forty".