13720400 has 30 divisors (see below), whose sum is σ = 32964222. Its totient is φ = 5488000.

The previous prime is 13720379. The next prime is 13720403. The reversal of 13720400 is 402731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 13719616 = 28^2 + 3704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 16751 + ... + 17550.

Almost surely, 2^13720400 is an apocalyptic number.

13720400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13720400 is an abundant number, since it is smaller than the sum of its proper divisors (19243822).

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

13720400 is a wasteful number, since it uses less digits than its factorization.

13720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34319 (or 34308 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13720400 is about 3704.1058300216. The cubic root of 13720400 is about 239.3989590100.

The spelling of 13720400 in words is "thirteen million, seven hundred twenty thousand, four hundred".