13427800 has 24 divisors (see below), whose sum is σ = 31220100. Its totient is φ = 5371040.

The previous prime is 13427789. The next prime is 13427809. The reversal of 13427800 is 872431.

It is a super-3 number, since 3×13427800³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13427809) 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, 33370 + ... + 33769.

Almost surely, 2^13427800 is an apocalyptic number.

13427800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13427800 is an abundant number, since it is smaller than the sum of its proper divisors (17792300).

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

13427800 is a wasteful number, since it uses less digits than its factorization.

13427800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67155 (or 67146 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 13427800 is about 3664.3962667812. The cubic root of 13427800 is about 237.6849160067.

It can be divided in two parts, 1342 and 7800, that multiplied together give a triangular number (10467600 = T₄₅₇₅).

The spelling of 13427800 in words is "thirteen million, four hundred twenty-seven thousand, eight hundred".