14392640 has 56 divisors (see below), whose sum is σ = 35140392. Its totient is φ = 5611520.

The previous prime is 14392619. The next prime is 14392663. The reversal of 14392640 is 4629341.

14392640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 14318656 = 272^2 + 3784^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 12572 + ... + 13668.

It is an arithmetic number, because the mean of its divisors is an integer number (627507).

Almost surely, 2^14392640 is an apocalyptic number.

14392640 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 14392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570196).

14392640 is an abundant number, since it is smaller than the sum of its proper divisors (20747752).

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

14392640 is a wasteful number, since it uses less digits than its factorization.

14392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

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

The square root of 14392640 is about 3793.7633031068. The cubic root of 14392640 is about 243.2466236790.

The spelling of 14392640 in words is "fourteen million, three hundred ninety-two thousand, six hundred forty".