1352120 has 64 divisors (see below), whose sum is σ = 3801600. Its totient is φ = 420480.

The previous prime is 1352119. The next prime is 1352123. The reversal of 1352120 is 212531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1352095 and 1352104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2^1352120 is an apocalyptic number.

1352120 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 1352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900800).

1352120 is an abundant number, since it is smaller than the sum of its proper divisors (2449480).

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

1352120 is a wasteful number, since it uses less digits than its factorization.

1352120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1352120 is about 1162.8069487236. The cubic root of 1352120 is about 110.5787676412.

1352120 divided by its sum of digits (14) gives a triangular number (96580 = T₄₃₉).

Adding to 1352120 its reverse (212531), we get a palindrome (1564651).

The spelling of 1352120 in words is "one million, three hundred fifty-two thousand, one hundred twenty".