1381200 has 60 divisors (see below), whose sum is σ = 4428288. Its totient is φ = 368000.

The previous prime is 1381187. The next prime is 1381207. The reversal of 1381200 is 21831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1381200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625 + ... + 1775.

2^1381200 is an apocalyptic number.

1381200 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 1381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214144).

1381200 is an abundant number, since it is smaller than the sum of its proper divisors (3047088).

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

1381200 is a wasteful number, since it uses less digits than its factorization.

1381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1381200 is about 1175.2446553803. The cubic root of 1381200 is about 111.3658894197.

It can be divided in two parts, 138 and 1200, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 1381200 in words is "one million, three hundred eighty-one thousand, two hundred".