13581940 has 24 divisors (see below), whose sum is σ = 28820232. Its totient is φ = 5376000.

The previous prime is 13581907. The next prime is 13581959. The reversal of 13581940 is 4918531.

It can be written as a sum of positive squares in 4 ways, for example, as 879844 + 12702096 = 938^2 + 3564^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1561 + ... + 5440.

It is an arithmetic number, because the mean of its divisors is an integer number (1200843).

Almost surely, 2^13581940 is an apocalyptic number.

13581940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13581940 is an abundant number, since it is smaller than the sum of its proper divisors (15238292).

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

13581940 is a wasteful number, since it uses less digits than its factorization.

13581940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 13581940 is about 3685.3683669343. The cubic root of 13581940 is about 238.5909332166.

The spelling of 13581940 in words is "thirteen million, five hundred eighty-one thousand, nine hundred forty".