1008120 has 64 divisors (see below), whose sum is σ = 3133440. Its totient is φ = 259200.

The previous prime is 1008101. The next prime is 1008131. The reversal of 1008120 is 218001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1008096 and 1008105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3585 + ... + 3855.

It is an arithmetic number, because the mean of its divisors is an integer number (48960).

2^1008120 is an apocalyptic number.

1008120 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 1008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566720).

1008120 is an abundant number, since it is smaller than the sum of its proper divisors (2125320).

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

1008120 is a wasteful number, since it uses less digits than its factorization.

1008120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1008120 is about 1004.0517914928. The cubic root of 1008120 is about 100.2699373493.

It can be divided in two parts, 10081 and 20, that added together give a palindrome (10101).

The spelling of 1008120 in words is "one million, eight thousand, one hundred twenty".