36584480 has 48 divisors (see below), whose sum is σ = 87113880. Its totient is φ = 14518272.

The previous prime is 36584441. The next prime is 36584507. The reversal of 36584480 is 8448563.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30958096 + 5626384 = 5564^2 + 2372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21086 + ... + 22754.

Almost surely, 2^36584480 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 36584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43556940).

36584480 is an abundant number, since it is smaller than the sum of its proper divisors (50529400).

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

36584480 is a wasteful number, since it uses less digits than its factorization.

36584480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 36584480 is about 6048.5105604603. The cubic root of 36584480 is about 331.9700945628.

The spelling of 36584480 in words is "thirty-six million, five hundred eighty-four thousand, four hundred eighty".