13940800 has 42 divisors (see below), whose sum is σ = 34307018. Its totient is φ = 5575680.

The previous prime is 13940789. The next prime is 13940803. The reversal of 13940800 is 804931.

It can be written as a sum of positive squares in 3 ways, for example, as 3904576 + 10036224 = 1976^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13940803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2757 + ... + 5956.

Almost surely, 2^13940800 is an apocalyptic number.

13940800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13940800 is an abundant number, since it is smaller than the sum of its proper divisors (20366218).

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

13940800 is an equidigital number, since it uses as much as digits as its factorization.

13940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8720 counting only the distinct ones).

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

The square root of 13940800 is about 3733.7380732987. The cubic root of 13940800 is about 240.6740311621.

The spelling of 13940800 in words is "thirteen million, nine hundred forty thousand, eight hundred".