36643640 has 96 divisors (see below), whose sum is σ = 92791440. Its totient is φ = 13009920.

The previous prime is 36643639. The next prime is 36643657. The reversal of 36643640 is 4634663.

It is a junction number, because it is equal to n+sod(n) for n = 36643597 and 36643606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324224 + ... + 324336.

Almost surely, 2^36643640 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 36643640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46395720).

36643640 is an abundant number, since it is smaller than the sum of its proper divisors (56147800).

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

36643640 is a wasteful number, since it uses less digits than its factorization.

36643640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 36643640 is about 6053.3990451646. The cubic root of 36643640 is about 332.1489388356.

The spelling of 36643640 in words is "thirty-six million, six hundred forty-three thousand, six hundred forty".