1068120 has 128 divisors (see below), whose sum is σ = 3801600. Its totient is φ = 266112.

The previous prime is 1068113. The next prime is 1068131. The reversal of 1068120 is 218601.

It is a super-2 number, since 2×1068120² = 2281760668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1068093 and 1068102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24819 + ... + 24861.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2^1068120 is an apocalyptic number.

1068120 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 1068120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900800).

1068120 is an abundant number, since it is smaller than the sum of its proper divisors (2733480).

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

1068120 is a wasteful number, since it uses less digits than its factorization.

1068120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1068120 is about 1033.4989114653. The cubic root of 1068120 is about 102.2209742199.

1068120 divided by its sum of digits (18) gives a triangular number (59340 = T₃₄₄).

It can be divided in two parts, 10681 and 20, that added together give a palindrome (10701).

The spelling of 1068120 in words is "one million, sixty-eight thousand, one hundred twenty".