13677800 has 24 divisors (see below), whose sum is σ = 31801350. Its totient is φ = 5471040.

The previous prime is 13677779. The next prime is 13677817. The reversal of 13677800 is 877631.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11930116 + 1747684 = 3454^2 + 1322^2 .

It is a super-4 number, since 4×13677800⁴ (a number of 30 digits) contains 4444 as substring.

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 5 ways as a sum of consecutive naturals, for example, 33995 + ... + 34394.

Almost surely, 2^13677800 is an apocalyptic number.

13677800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677800 is an abundant number, since it is smaller than the sum of its proper divisors (18123550).

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

13677800 is a wasteful number, since it uses less digits than its factorization.

13677800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68405 (or 68396 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 13677800 is about 3698.3509838846. The cubic root of 13677800 is about 239.1509349295.

The spelling of 13677800 in words is "thirteen million, six hundred seventy-seven thousand, eight hundred".