13648800 has 216 divisors, whose sum is σ = 49871808. Its totient is φ = 3238400.

The previous prime is 13648793. The next prime is 13648823. The reversal of 13648800 is 884631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290377 + ... + 290423.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 2^13648800 is an apocalyptic number.

13648800 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 13648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

13648800 is an abundant number, since it is smaller than the sum of its proper divisors (36223008).

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

13648800 is a wasteful number, since it uses less digits than its factorization.

13648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13648800 is about 3694.4282372243. The cubic root of 13648800 is about 238.9817974851.

The spelling of 13648800 in words is "thirteen million, six hundred forty-eight thousand, eight hundred".