13940820 has 72 divisors (see below), whose sum is σ = 43341480. Its totient is φ = 3624960.

The previous prime is 13940809. The next prime is 13940827. The reversal of 13940820 is 2804931.

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 13927824 = 114^2 + 3732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13940827) by changing a digit.

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, 6436 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^13940820 is an apocalyptic number.

13940820 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 13940820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670740).

13940820 is an abundant number, since it is smaller than the sum of its proper divisors (29400660).

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

13940820 is a wasteful number, since it uses less digits than its factorization.

13940820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13940820 is about 3733.7407515788. The cubic root of 13940820 is about 240.6741462554.

The spelling of 13940820 in words is "thirteen million, nine hundred forty thousand, eight hundred twenty".