6301120 has 112 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 2064384.

The previous prime is 6301109. The next prime is 6301121. The reversal of 6301120 is 211036.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6301120² = 79408226508800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6301120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6301121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64912 + ... + 65008.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^6301120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

6301120 is an abundant number, since it is smaller than the sum of its proper divisors (11621120).

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

6301120 is a wasteful number, since it uses less digits than its factorization.

6301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 6301120 is about 2510.2031790275. The cubic root of 6301120 is about 184.7024190763.

Adding to 6301120 its reverse (211036), we get a palindrome (6512156).

It can be divided in two parts, 630 and 1120, that multiplied together give a square (705600 = 840²).

The spelling of 6301120 in words is "six million, three hundred one thousand, one hundred twenty".