36646960 has 80 divisors (see below), whose sum is σ = 100564992. Its totient is φ = 12153600.

The previous prime is 36646937. The next prime is 36646969. The reversal of 36646960 is 6964663.

36646960 = 538² + 539² + ... + 642².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (36646969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16305 + ... + 18415.

Almost surely, 2^36646960 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 36646960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50282496).

36646960 is an abundant number, since it is smaller than the sum of its proper divisors (63918032).

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

36646960 is a wasteful number, since it uses less digits than its factorization.

36646960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 36646960 is about 6053.6732650516. The cubic root of 36646960 is about 332.1589696911.

The spelling of 36646960 in words is "thirty-six million, six hundred forty-six thousand, nine hundred sixty".