13442800 has 60 divisors (see below), whose sum is σ = 36917776. Its totient is φ = 4608000.

The previous prime is 13442791. The next prime is 13442831. The reversal of 13442800 is 824431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 5200.

Almost surely, 2^13442800 is an apocalyptic number.

13442800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458888).

13442800 is an abundant number, since it is smaller than the sum of its proper divisors (23474976).

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

13442800 is a wasteful number, since it uses less digits than its factorization.

13442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 13442800 is about 3666.4424173850. The cubic root of 13442800 is about 237.7733878584.

The spelling of 13442800 in words is "thirteen million, four hundred forty-two thousand, eight hundred".