1353120 has 48 divisors (see below), whose sum is σ = 4263840. Its totient is φ = 360704.

The previous prime is 1353101. The next prime is 1353133. The reversal of 1353120 is 213531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 1353120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (88830).

2^1353120 is an apocalyptic number.

1353120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353120 is an abundant number, since it is smaller than the sum of its proper divisors (2910720).

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

1353120 is a wasteful number, since it uses less digits than its factorization.

1353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1353120 is about 1163.2368632398. The cubic root of 1353120 is about 110.6060215137.

Adding to 1353120 its reverse (213531), we get a palindrome (1566651).

The spelling of 1353120 in words is "one million, three hundred fifty-three thousand, one hundred twenty".