13267764 has 72 divisors (see below), whose sum is σ = 35085960. Its totient is φ = 4224000.

The previous prime is 13267763. The next prime is 13267781. The reversal of 13267764 is 46776231.

13267764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 12531600 = 858^2 + 3540^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13267763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131314 + ... + 131414.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^13267764 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 13267764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542980).

13267764 is an abundant number, since it is smaller than the sum of its proper divisors (21818196).

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

13267764 is a wasteful number, since it uses less digits than its factorization.

13267764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 13267764 is about 3642.4942004072. The cubic root of 13267764 is about 236.7368761698.

It can be divided in two parts, 132 and 67764, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 13267764 in words is "thirteen million, two hundred sixty-seven thousand, seven hundred sixty-four".