13444800 has 84 divisors (see below), whose sum is σ = 44125896. Its totient is φ = 3584000.

The previous prime is 13444763. The next prime is 13444829. The reversal of 13444800 is 844431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3400 + ... + 6200.

Almost surely, 2^13444800 is an apocalyptic number.

13444800 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 13444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22062948).

13444800 is an abundant number, since it is smaller than the sum of its proper divisors (30681096).

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

13444800 is a wasteful number, since it uses less digits than its factorization.

13444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13444800 is about 3666.7151511946. The cubic root of 13444800 is about 237.7851791319.

The spelling of 13444800 in words is "thirteen million, four hundred forty-four thousand, eight hundred".