1361200 has 60 divisors (see below), whose sum is σ = 3390408. Its totient is φ = 524800.

The previous prime is 1361197. The next prime is 1361273. The reversal of 1361200 is 21631.

1361200 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16359 + ... + 16441.

2^1361200 is an apocalyptic number.

1361200 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 1361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695204).

1361200 is an abundant number, since it is smaller than the sum of its proper divisors (2029208).

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

1361200 is a wasteful number, since it uses less digits than its factorization.

1361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1361200 is about 1166.7047612828. The cubic root of 1361200 is about 110.8257417806.

Adding to 1361200 its reverse (21631), we get a palindrome (1382831).

It can be divided in two parts, 1 and 361200, that added together give a square (361201 = 601²).

The spelling of 1361200 in words is "one million, three hundred sixty-one thousand, two hundred".