13809264 has 80 divisors (see below), whose sum is σ = 41402112. Its totient is φ = 3884544.

The previous prime is 13809227. The next prime is 13809277. The reversal of 13809264 is 46290831.

13809264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24247 + ... + 24809.

Almost surely, 2^13809264 is an apocalyptic number.

13809264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13809264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701056).

13809264 is an abundant number, since it is smaller than the sum of its proper divisors (27592848).

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

13809264 is a wasteful number, since it uses less digits than its factorization.

13809264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13809264 is about 3716.0818074956. The cubic root of 13809264 is about 239.9146919030.

The spelling of 13809264 in words is "thirteen million, eight hundred nine thousand, two hundred sixty-four".