13842800 has 30 divisors (see below), whose sum is σ = 33258288. Its totient is φ = 5536960.

The previous prime is 13842781. The next prime is 13842809. The reversal of 13842800 is 824831.

13842800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13842800² = 383246223680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13842800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13842809) 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, 16904 + ... + 17703.

Almost surely, 2^13842800 is an apocalyptic number.

13842800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13842800 is an abundant number, since it is smaller than the sum of its proper divisors (19415488).

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

13842800 is a wasteful number, since it uses less digits than its factorization.

13842800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34625 (or 34614 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13842800 is about 3720.5913508473. The cubic root of 13842800 is about 240.1087470142.

The spelling of 13842800 in words is "thirteen million, eight hundred forty-two thousand, eight hundred".