13715820 has 72 divisors (see below), whose sum is σ = 43426656. Its totient is φ = 3497472.

The previous prime is 13715813. The next prime is 13715837. The reversal of 13715820 is 2851731.

13715820 is a `hidden beast` number, since 13 + 71 + 582 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2484 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (603148).

Almost surely, 2^13715820 is an apocalyptic number.

13715820 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 13715820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21713328).

13715820 is an abundant number, since it is smaller than the sum of its proper divisors (29710836).

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

13715820 is a wasteful number, since it uses less digits than its factorization.

13715820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13715820 is about 3703.4875455441. The cubic root of 13715820 is about 239.3723181624.

It can be divided in two parts, 13715 and 820, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13715820 in words is "thirteen million, seven hundred fifteen thousand, eight hundred twenty".