1381600 has 72 divisors (see below), whose sum is σ = 3702888. Its totient is φ = 499200.

The previous prime is 1381559. The next prime is 1381609. The reversal of 1381600 is 61831.

1381600 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381609) 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, 8722 + ... + 8878.

It is an arithmetic number, because the mean of its divisors is an integer number (51429).

2^1381600 is an apocalyptic number.

1381600 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 1381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851444).

1381600 is an abundant number, since it is smaller than the sum of its proper divisors (2321288).

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

1381600 is a wasteful number, since it uses less digits than its factorization.

1381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1381600 is about 1175.4148203932. The cubic root of 1381600 is about 111.3766390230.

The spelling of 1381600 in words is "one million, three hundred eighty-one thousand, six hundred".