36746560 has 28 divisors (see below), whose sum is σ = 87503508. Its totient is φ = 14698496.

The previous prime is 36746531. The next prime is 36746569. The reversal of 36746560 is 6564763.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 32353344 = 2096^2 + 5688^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36746569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57097 + ... + 57736.

Almost surely, 2^36746560 is an apocalyptic number.

It is an amenable number.

36746560 is an abundant number, since it is smaller than the sum of its proper divisors (50756948).

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

36746560 is a wasteful number, since it uses less digits than its factorization.

36746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114850 (or 114840 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 36746560 is about 6061.8940934332. The cubic root of 36746560 is about 332.4596140671.

The spelling of 36746560 in words is "thirty-six million, seven hundred forty-six thousand, five hundred sixty".