13908040 has 64 divisors (see below), whose sum is σ = 33611760. Its totient is φ = 5160960.

The previous prime is 13908017. The next prime is 13908043. The reversal of 13908040 is 4080931.

13908040 = T₁₇₄ + T₁₇₅ + ... + T₄₄₅.

It can be written as a sum of positive squares in 8 ways, for example, as 527076 + 13380964 = 726^2 + 3658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13907996 and 13908014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13908043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76750 + ... + 76930.

Almost surely, 2^13908040 is an apocalyptic number.

13908040 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 13908040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805880).

13908040 is an abundant number, since it is smaller than the sum of its proper divisors (19703720).

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

13908040 is a wasteful number, since it uses less digits than its factorization.

13908040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 13908040 is about 3729.3484685666. The cubic root of 13908040 is about 240.4853603697.

Adding to 13908040 its reverse (4080931), we get a palindrome (17988971).

The spelling of 13908040 in words is "thirteen million, nine hundred eight thousand, forty".