13924640 has 48 divisors (see below), whose sum is σ = 34042680. Its totient is φ = 5376000.

The previous prime is 13924639. The next prime is 13924657. The reversal of 13924640 is 4642931.

It can be written as a sum of positive squares in 4 ways, for example, as 11478544 + 2446096 = 3388^2 + 1564^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 3140 + ... + 6140.

Almost surely, 2^13924640 is an apocalyptic number.

13924640 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 13924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17021340).

13924640 is an abundant number, since it is smaller than the sum of its proper divisors (20118040).

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

13924640 is a wasteful number, since it uses less digits than its factorization.

13924640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 13924640 is about 3731.5733946956. The cubic root of 13924640 is about 240.5809997694.

The spelling of 13924640 in words is "thirteen million, nine hundred twenty-four thousand, six hundred forty".