13814800 has 30 divisors (see below), whose sum is σ = 33191018. Its totient is φ = 5525760.

The previous prime is 13814783. The next prime is 13814807. The reversal of 13814800 is 841831.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 13749264 = 256^2 + 3708^2 .

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 (13814807) 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, 16869 + ... + 17668.

Almost surely, 2^13814800 is an apocalyptic number.

13814800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13814800 is an abundant number, since it is smaller than the sum of its proper divisors (19376218).

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

13814800 is a wasteful number, since it uses less digits than its factorization.

13814800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34555 (or 34544 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 13814800 is about 3716.8266034347. The cubic root of 13814800 is about 239.9467474442.

The spelling of 13814800 in words is "thirteen million, eight hundred fourteen thousand, eight hundred".