13769664 has 56 divisors (see below), whose sum is σ = 37703760. Its totient is φ = 4429824.

The previous prime is 13769641. The next prime is 13769671. The reversal of 13769664 is 46696731.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4332 + ... + 6804.

Almost surely, 2^13769664 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 13769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851880).

13769664 is an abundant number, since it is smaller than the sum of its proper divisors (23934096).

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

13769664 is a wasteful number, since it uses less digits than its factorization.

13769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2507 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 13769664 is about 3710.7497894630. The cubic root of 13769664 is about 239.6851426731.

It can be divided in two parts, 1376966 and 4, that added together give a triangular number (1376970 = T₁₆₅₉).

The spelling of 13769664 in words is "thirteen million, seven hundred sixty-nine thousand, six hundred sixty-four".