1371200 has 42 divisors (see below), whose sum is σ = 3377946. Its totient is φ = 547840.

The previous prime is 1371193. The next prime is 1371217. The reversal of 1371200 is 21731.

It can be written as a sum of positive squares in 3 ways, for example, as 322624 + 1048576 = 568^2 + 1024^2 .

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1172 + ... + 2028.

2^1371200 is an apocalyptic number.

1371200 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 1371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688973).

1371200 is an abundant number, since it is smaller than the sum of its proper divisors (2006746).

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

1371200 is an equidigital number, since it uses as much as digits as its factorization.

1371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1371200 is about 1170.9824934644. The cubic root of 1371200 is about 111.0964721455.

Adding to 1371200 its reverse (21731), we get a palindrome (1392931).

The spelling of 1371200 in words is "one million, three hundred seventy-one thousand, two hundred".