13642800 has 60 divisors (see below), whose sum is σ = 43706280. Its totient is φ = 3637760.

The previous prime is 13642787. The next prime is 13642801. The reversal of 13642800 is 824631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×13642800² = 372251983680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13642801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4485 + ... + 6884.

It is an arithmetic number, because the mean of its divisors is an integer number (728438).

Almost surely, 2^13642800 is an apocalyptic number.

13642800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13642800 is an abundant number, since it is smaller than the sum of its proper divisors (30063480).

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

13642800 is a wasteful number, since it uses less digits than its factorization.

13642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11390 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13642800 is about 3693.6161143248. The cubic root of 13642800 is about 238.9467736259.

The spelling of 13642800 in words is "thirteen million, six hundred forty-two thousand, eight hundred".