1385120 has 48 divisors (see below), whose sum is σ = 3574368. Its totient is φ = 503040.

The previous prime is 1385117. The next prime is 1385147. The reversal of 1385120 is 215831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1385092 and 1385101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1367 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (74466).

2^1385120 is an apocalyptic number.

1385120 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 1385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787184).

1385120 is an abundant number, since it is smaller than the sum of its proper divisors (2189248).

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

1385120 is a wasteful number, since it uses less digits than its factorization.

1385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1385120 is about 1176.9112116043. The cubic root of 1385120 is about 111.4711461867.

The spelling of 1385120 in words is "one million, three hundred eighty-five thousand, one hundred twenty".