3090960 has 140 divisors (see below), whose sum is σ = 10978092. Its totient is φ = 808704.

The previous prime is 3090959. The next prime is 3090961. The reversal of 3090960 is 690903.

It is an interprime number because it is at equal distance from previous prime (3090959) and next prime (3090961).

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 1411344 = 1296^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3090961) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58294 + ... + 58346.

Almost surely, 2^3090960 is an apocalyptic number.

3090960 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 3090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489046).

3090960 is an abundant number, since it is smaller than the sum of its proper divisors (7887132).

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

3090960 is an equidigital number, since it uses as much as digits as its factorization.

3090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3090960 is about 1758.1126243788. The cubic root of 3090960 is about 145.6681020222.

The spelling of 3090960 in words is "three million, ninety thousand, nine hundred sixty".