13714920 has 192 divisors, whose sum is σ = 49533120. Its totient is φ = 3400704.

The previous prime is 13714919. The next prime is 13714957. The reversal of 13714920 is 2941731.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165199 + ... + 165281.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^13714920 is an apocalyptic number.

13714920 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 13714920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

13714920 is an abundant number, since it is smaller than the sum of its proper divisors (35818200).

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

13714920 is a wasteful number, since it uses less digits than its factorization.

13714920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13714920 is about 3703.3660364593. The cubic root of 13714920 is about 239.3670823642.

The spelling of 13714920 in words is "thirteen million, seven hundred fourteen thousand, nine hundred twenty".