13744764 has 72 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 4089600.

The previous prime is 13744747. The next prime is 13744781. The reversal of 13744764 is 46744731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13744747) and next prime (13744781).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23872 + ... + 24440.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^13744764 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 13744764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

13744764 is an abundant number, since it is smaller than the sum of its proper divisors (24846516).

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

13744764 is a wasteful number, since it uses less digits than its factorization.

13744764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 13744764 is about 3707.3931542258. The cubic root of 13744764 is about 239.5405794476.

The spelling of 13744764 in words is "thirteen million, seven hundred forty-four thousand, seven hundred sixty-four".