13774320 has 160 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 3144960.

The previous prime is 13774307. The next prime is 13774331. The reversal of 13774320 is 2347731.

13774320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14665 + ... + 15575.

It is an arithmetic number, because the mean of its divisors is an integer number (339264).

Almost surely, 2^13774320 is an apocalyptic number.

13774320 is a gapful number since it is divisible by the number (10) 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 13774320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

13774320 is an abundant number, since it is smaller than the sum of its proper divisors (40507920).

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

13774320 is a wasteful number, since it uses less digits than its factorization.

13774320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13774320 is about 3711.3771029094. The cubic root of 13774320 is about 239.7121549097.

The spelling of 13774320 in words is "thirteen million, seven hundred seventy-four thousand, three hundred twenty".