13792840 has 16 divisors (see below), whose sum is σ = 31033980. Its totient is φ = 5517120.

The previous prime is 13792837. The next prime is 13792853. The reversal of 13792840 is 4829731.

13792840 = 110² + 111² + ... + 349².

It can be written as a sum of positive squares in 2 ways, for example, as 11655396 + 2137444 = 3414^2 + 1462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13792796 and 13792805.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 172371 + ... + 172450.

Almost surely, 2^13792840 is an apocalyptic number.

13792840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13792840 is an abundant number, since it is smaller than the sum of its proper divisors (17241140).

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

13792840 is a wasteful number, since it uses less digits than its factorization.

13792840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344832 (or 344828 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13792840 is about 3713.8712955621. The cubic root of 13792840 is about 239.8195402695.

The spelling of 13792840 in words is "thirteen million, seven hundred ninety-two thousand, eight hundred forty".