1361120 has 48 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 529920.

The previous prime is 1361099. The next prime is 1361123. The reversal of 1361120 is 211631.

1361120 = T₁₂₁ + T₁₂₂ + ... + T₂₁₄.

It is a junction number, because it is equal to n+sod(n) for n = 1361095 and 1361104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7430 + ... + 7610.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

2^1361120 is an apocalyptic number.

1361120 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 1361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651104).

1361120 is an abundant number, since it is smaller than the sum of its proper divisors (1941088).

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

1361120 is a wasteful number, since it uses less digits than its factorization.

1361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1361120 is about 1166.6704761843. The cubic root of 1361120 is about 110.8235706001.

Adding to 1361120 its reverse (211631), we get a palindrome (1572751).

It can be divided in two parts, 13611 and 20, that added together give a palindrome (13631).

The spelling of 1361120 in words is "one million, three hundred sixty-one thousand, one hundred twenty".