1380120 has 128 divisors (see below), whose sum is σ = 4976640. Its totient is φ = 299520.

The previous prime is 1380083. The next prime is 1380149. The reversal of 1380120 is 210831.

It is a happy number.

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 1380120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26014 + ... + 26066.

It is an arithmetic number, because the mean of its divisors is an integer number (38880).

2^1380120 is an apocalyptic number.

1380120 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 1380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488320).

1380120 is an abundant number, since it is smaller than the sum of its proper divisors (3596520).

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

1380120 is a wasteful number, since it uses less digits than its factorization.

1380120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

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

The square root of 1380120 is about 1174.7850867286. The cubic root of 1380120 is about 111.3368551202.

Adding to 1380120 its reverse (210831), we get a palindrome (1590951).

It can be divided in two parts, 1380 and 120, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 1380120 in words is "one million, three hundred eighty thousand, one hundred twenty".