36630144 has 80 divisors (see below), whose sum is σ = 109041570. Its totient is φ = 12206592.

The previous prime is 36630133. The next prime is 36630169. The reversal of 36630144 is 44103663.

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 10497600 = 5112^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8602 + ... + 12134.

Almost surely, 2^36630144 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 36630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54520785).

36630144 is an abundant number, since it is smaller than the sum of its proper divisors (72411426).

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

36630144 is an equidigital number, since it uses as much as digits as its factorization.

36630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36630144 is about 6052.2841968962. The cubic root of 36630144 is about 332.1081565651.

The spelling of 36630144 in words is "thirty-six million, six hundred thirty thousand, one hundred forty-four".