1553120 has 48 divisors (see below), whose sum is σ = 3891888. Its totient is φ = 583680.

The previous prime is 1553119. The next prime is 1553129. The reversal of 1553120 is 213551.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2435 + ... + 3005.

It is an arithmetic number, because the mean of its divisors is an integer number (81081).

2^1553120 is an apocalyptic number.

1553120 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 1553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945944).

1553120 is an abundant number, since it is smaller than the sum of its proper divisors (2338768).

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

1553120 is a wasteful number, since it uses less digits than its factorization.

1553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1553120 is about 1246.2423520327. The cubic root of 1553120 is about 115.8070514129.

Adding to 1553120 its reverse (213551), we get a palindrome (1766671).

It can be divided in two parts, 15531 and 20, that added together give a palindrome (15551).

The spelling of 1553120 in words is "one million, five hundred fifty-three thousand, one hundred twenty".