13240800 has 144 divisors (see below), whose sum is σ = 47965680. Its totient is φ = 3525120.

The previous prime is 13240771. The next prime is 13240817. The reversal of 13240800 is 804231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21294 + ... + 21906.

It is an arithmetic number, because the mean of its divisors is an integer number (333095).

Almost surely, 2^13240800 is an apocalyptic number.

13240800 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 13240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23982840).

13240800 is an abundant number, since it is smaller than the sum of its proper divisors (34724880).

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

13240800 is a wasteful number, since it uses less digits than its factorization.

13240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13240800 is about 3638.7910080135. The cubic root of 13240800 is about 236.5763944107.

The spelling of 13240800 in words is "thirteen million, two hundred forty thousand, eight hundred".