13332800 has 84 divisors (see below), whose sum is σ = 35385756. Its totient is φ = 4915200.

The previous prime is 13332797. The next prime is 13332817. The reversal of 13332800 is 823331.

It can be written as a sum of positive squares in 6 ways, for example, as 141376 + 13191424 = 376^2 + 3632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 20480 + ... + 21120.

It is an arithmetic number, because the mean of its divisors is an integer number (421259).

Almost surely, 2^13332800 is an apocalyptic number.

13332800 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 13332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692878).

13332800 is an abundant number, since it is smaller than the sum of its proper divisors (22052956).

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

13332800 is a wasteful number, since it uses less digits than its factorization.

13332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 13332800 is about 3651.4106862965. The cubic root of 13332800 is about 237.1230585742.

It can be divided in two parts, 13 and 332800, that multiplied together give a square (4326400 = 2080²).

The spelling of 13332800 in words is "thirteen million, three hundred thirty-two thousand, eight hundred".