36675584 has 84 divisors (see below), whose sum is σ = 82799682. Its totient is φ = 16220160.

The previous prime is 36675577. The next prime is 36675589. The reversal of 36675584 is 48557663.

It can be written as a sum of positive squares in only one way, i.e., 24285184 + 12390400 = 4928^2 + 3520^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (604800) is a multiple of the sum of its prime divisors (50).

It is not an unprimeable number, because it can be changed into a prime (36675589) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 991214 + ... + 991250.

Almost surely, 2^36675584 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 36675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41399841).

36675584 is an abundant number, since it is smaller than the sum of its proper divisors (46124098).

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

36675584 is an equidigital number, since it uses as much as digits as its factorization.

36675584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 36675584 is about 6056.0369879980. The cubic root of 36675584 is about 332.2454274674.

The spelling of 36675584 in words is "thirty-six million, six hundred seventy-five thousand, five hundred eighty-four".