6005760 has 176 divisors, whose sum is σ = 21223296. Its totient is φ = 1441792.

The previous prime is 6005759. The next prime is 6005789. The reversal of 6005760 is 675006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6005760.

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, 261109 + ... + 261131.

Almost surely, 2^6005760 is an apocalyptic number.

6005760 is a gapful number since it is divisible by the number (60) 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 6005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611648).

6005760 is an abundant number, since it is smaller than the sum of its proper divisors (15217536).

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

6005760 is a wasteful number, since it uses less digits than its factorization.

6005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 6005760 is about 2450.6652158139. The cubic root of 6005760 is about 181.7701885448.

The spelling of 6005760 in words is "six million, five thousand, seven hundred sixty".