36768966 has 32 divisors (see below), whose sum is σ = 79427040. Its totient is φ = 11280384.

The previous prime is 36768961. The next prime is 36768989. The reversal of 36768966 is 66986763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36768961) 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, 47430 + ... + 48198.

It is an arithmetic number, because the mean of its divisors is an integer number (2482095).

Almost surely, 2^36768966 is an apocalyptic number.

36768966 is an abundant number, since it is smaller than the sum of its proper divisors (42658074).

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

36768966 is a wasteful number, since it uses less digits than its factorization.

36768966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400.

The product of its digits is 1959552, while the sum is 51.

The square root of 36768966 is about 6063.7419140330. The cubic root of 36768966 is about 332.5271721062.

The spelling of 36768966 in words is "thirty-six million, seven hundred sixty-eight thousand, nine hundred sixty-six".