6090 has 32 divisors (see below), whose sum is σ = 17280. Its totient is φ = 1344.

The previous prime is 6089. The next prime is 6091. The reversal of 6090 is 906.

6090 = T₁₄ + T₁₅ + ... + T₃₃.

It is an interprime number because it is at equal distance from previous prime (6089) and next prime (6091).

It is a Harshad number since it is a multiple of its sum of digits (15).

6090 is an undulating number in base 12.

6090 is a modest number, since divided by 90 gives 60 as remainder.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6091) 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, 196 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2⁶⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640).

6090 is an abundant number, since it is smaller than the sum of its proper divisors (11190).

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

6090 is a wasteful number, since it uses less digits than its factorization.

6090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 6090 is about 78.0384520605. The cubic root of 6090 is about 18.2616114260.

Adding to 6090 its sum of digits (15), we get a triangular number (6105 = T₁₁₀).

6090 divided by its sum of digits (15) gives a triangular number (406 = T₂₈).

Adding to 6090 its reverse (906), we get a palindrome (6996).

Subtracting from 6090 its reverse (906), we obtain a square (5184 = 72²).

The spelling of 6090 in words is "six thousand, ninety".