1338800 has 30 divisors (see below), whose sum is σ = 3217428. Its totient is φ = 535360.

The previous prime is 1338793. The next prime is 1338803. The reversal of 1338800 is 88331.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1338803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1274 + ... + 2073.

2^1338800 is an apocalyptic number.

1338800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338800 is an abundant number, since it is smaller than the sum of its proper divisors (1878628).

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

1338800 is a wasteful number, since it uses less digits than its factorization.

1338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1338800 is about 1157.0652531297. The cubic root of 1338800 is about 110.2144576515.

The spelling of 1338800 in words is "one million, three hundred thirty-eight thousand, eight hundred".