36633664 has 56 divisors (see below), whose sum is σ = 77833728. Its totient is φ = 17064960.

The previous prime is 36633659. The next prime is 36633671. The reversal of 36633664 is 46633663.

It is a congruent number.

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, 60049 + ... + 60655.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 2^36633664 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 36633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38916864).

36633664 is an abundant number, since it is smaller than the sum of its proper divisors (41200064).

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

36633664 is a wasteful number, since it uses less digits than its factorization.

36633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its digits is 139968, while the sum is 37.

The square root of 36633664 is about 6052.5749892091. The cubic root of 36633664 is about 332.1187942816.

Subtracting 36633664 from its reverse (46633663), we obtain a palindrome (9999999).

The spelling of 36633664 in words is "thirty-six million, six hundred thirty-three thousand, six hundred sixty-four".