13724640 has 144 divisors (see below), whose sum is σ = 48707568. Its totient is φ = 3649536.

The previous prime is 13724617. The next prime is 13724653. The reversal of 13724640 is 4642731.

13724640 is a `hidden beast` number, since 13 + 7 + 2 + 4 + 640 = 666.

13724640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 38704 + ... + 39056.

It is an arithmetic number, because the mean of its divisors is an integer number (338247).

Almost surely, 2^13724640 is an apocalyptic number.

13724640 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 13724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24353784).

13724640 is an abundant number, since it is smaller than the sum of its proper divisors (34982928).

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

13724640 is an equidigital number, since it uses as much as digits as its factorization.

13724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13724640 is about 3704.6781236701. The cubic root of 13724640 is about 239.4236168685.

The spelling of 13724640 in words is "thirteen million, seven hundred twenty-four thousand, six hundred forty".