13774640 has 60 divisors (see below), whose sum is σ = 35226912. Its totient is φ = 5005440.

The previous prime is 13774637. The next prime is 13774667. The reversal of 13774640 is 4647731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13774597 and 13774606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8969 + ... + 10391.

Almost surely, 2^13774640 is an apocalyptic number.

13774640 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 13774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613456).

13774640 is an abundant number, since it is smaller than the sum of its proper divisors (21452272).

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

13774640 is a wasteful number, since it uses less digits than its factorization.

13774640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 13774640 is about 3711.4202133415. The cubic root of 13774640 is about 239.7140111972.

The spelling of 13774640 in words is "thirteen million, seven hundred seventy-four thousand, six hundred forty".