3093120 has 128 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 820224.

The previous prime is 3093113. The next prime is 3093121. The reversal of 3093120 is 213903.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 3093093 and 3093102.

It is not an unprimeable number, because it can be changed into a prime (3093121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17191 + ... + 17369.

Almost surely, 2^3093120 is an apocalyptic number.

3093120 is a gapful number since it is divisible by the number (30) 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 3093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3093120 is an abundant number, since it is smaller than the sum of its proper divisors (7922880).

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

3093120 is a wasteful number, since it uses less digits than its factorization.

3093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3093120 is about 1758.7268122139. The cubic root of 3093120 is about 145.7020256615.

The spelling of 3093120 in words is "three million, ninety-three thousand, one hundred twenty".