13312764 has 72 divisors (see below), whose sum is σ = 35409920. Its totient is φ = 4212000.

The previous prime is 13312753. The next prime is 13312777. The reversal of 13312764 is 46721331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88089 + ... + 88239.

Almost surely, 2^13312764 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 13312764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704960).

13312764 is an abundant number, since it is smaller than the sum of its proper divisors (22097156).

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

13312764 is a wasteful number, since it uses less digits than its factorization.

13312764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 266 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13312764 is about 3648.6660576161. Note that the first 3 decimals coincide. The cubic root of 13312764 is about 237.0042193342.

It can be divided in two parts, 1331 and 2764, that added together give a triangular number (4095 = T₉₀).

The spelling of 13312764 in words is "thirteen million, three hundred twelve thousand, seven hundred sixty-four".