1381800 has 144 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 309120.

The previous prime is 1381769. The next prime is 1381819. The reversal of 1381800 is 81831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 29377 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (35340).

2^1381800 is an apocalyptic number.

1381800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1175×1176.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

1381800 is an abundant number, since it is smaller than the sum of its proper divisors (3707160).

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

1381800 is a wasteful number, since it uses less digits than its factorization.

1381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1381800 is about 1175.4998936623. The cubic root of 1381800 is about 111.3820130466.

The spelling of 1381800 in words is "one million, three hundred eighty-one thousand, eight hundred".