36661760 has 40 divisors (see below), whose sum is σ = 87908436. Its totient is φ = 14663680.

The previous prime is 36661753. The next prime is 36661763. The reversal of 36661760 is 6716663.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30824704 + 5837056 = 5552^2 + 2416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 36661760.

It is not an unprimeable number, because it can be changed into a prime (36661763) 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, 4601 + ... + 9720.

Almost surely, 2^36661760 is an apocalyptic number.

It is an amenable number.

36661760 is an abundant number, since it is smaller than the sum of its proper divisors (51246676).

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

36661760 is an equidigital number, since it uses as much as digits as its factorization.

36661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14344 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 36661760 is about 6054.8955399742. The cubic root of 36661760 is about 332.2036781847.

It can be divided in two parts, 366 and 61760, that added together give a palindrome (62126).

The spelling of 36661760 in words is "thirty-six million, six hundred sixty-one thousand, seven hundred sixty".