13712790 has 64 divisors (see below), whose sum is σ = 40513536. Its totient is φ = 2892672.

The previous prime is 13712789. The next prime is 13712791. The reversal of 13712790 is 9721731.

It is an interprime number because it is at equal distance from previous prime (13712789) and next prime (13712791).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13712791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219 + ... + 5241.

It is an arithmetic number, because the mean of its divisors is an integer number (633024).

Almost surely, 2^13712790 is an apocalyptic number.

13712790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13712790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20256768).

13712790 is an abundant number, since it is smaller than the sum of its proper divisors (26800746).

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

13712790 is a wasteful number, since it uses less digits than its factorization.

13712790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 13712790 is about 3703.0784490745. The cubic root of 13712790 is about 239.3546900624.

The spelling of 13712790 in words is "thirteen million, seven hundred twelve thousand, seven hundred ninety".