13991940 has 72 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3729888.

The previous prime is 13991933. The next prime is 13991953. The reversal of 13991940 is 4919931.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13991895 and 13991904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3421 + ... + 6299.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^13991940 is an apocalyptic number.

13991940 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 13991940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

13991940 is an abundant number, since it is smaller than the sum of its proper divisors (30037500).

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

13991940 is a wasteful number, since it uses less digits than its factorization.

13991940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 13991940 is about 3740.5801689043. The cubic root of 13991940 is about 240.9679657610.

The spelling of 13991940 in words is "thirteen million, nine hundred ninety-one thousand, nine hundred forty".