36131664 has 40 divisors (see below), whose sum is σ = 98832960. Its totient is φ = 11335168.

The previous prime is 36131663. The next prime is 36131713. The reversal of 36131664 is 46613163.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21324 + ... + 22955.

It is an arithmetic number, because the mean of its divisors is an integer number (2470824).

Almost surely, 2^36131664 is an apocalyptic number.

36131664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36131664 is an abundant number, since it is smaller than the sum of its proper divisors (62701296).

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

36131664 is a wasteful number, since it uses less digits than its factorization.

36131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44307 (or 44301 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 36131664 is about 6010.9619862381. The cubic root of 36131664 is about 330.5947767609.

The spelling of 36131664 in words is "thirty-six million, one hundred thirty-one thousand, six hundred sixty-four".