1613120 has 42 divisors (see below), whose sum is σ = 3896106. Its totient is φ = 636160.

The previous prime is 1613099. The next prime is 1613123. The reversal of 1613120 is 213161.

It can be written as a sum of positive squares in only one way, i.e., 1290496 + 322624 = 1136^2 + 568^2 .

It is a super-2 number, since 2×1613120² = 5204312268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1613095 and 1613104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22685 + ... + 22755.

2^1613120 is an apocalyptic number.

1613120 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 1613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948053).

1613120 is an abundant number, since it is smaller than the sum of its proper divisors (2282986).

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

1613120 is an frugal number, since it uses more digits than its factorization.

1613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1613120 is about 1270.0866112199. The cubic root of 1613120 is about 117.2795322672.

Adding to 1613120 its reverse (213161), we get a palindrome (1826281).

The spelling of 1613120 in words is "one million, six hundred thirteen thousand, one hundred twenty".