13205940 has 144 divisors (see below), whose sum is σ = 43436736. Its totient is φ = 2984960.

The previous prime is 13205891. The next prime is 13205953. The reversal of 13205940 is 4950231.

13205940 is a modest number, since divided by 5940 gives 1320 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 13205940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123367 + ... + 123473.

It is an arithmetic number, because the mean of its divisors is an integer number (301644).

Almost surely, 2^13205940 is an apocalyptic number.

13205940 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 13205940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

13205940 is an abundant number, since it is smaller than the sum of its proper divisors (30230796).

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

13205940 is a wasteful number, since it uses less digits than its factorization.

13205940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13205940 is about 3633.9977985684. The cubic root of 13205940 is about 236.3685947498.

It can be divided in two parts, 1320 and 5940, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 13205940 in words is "thirteen million, two hundred five thousand, nine hundred forty".