6168960 has 320 divisors, whose sum is σ = 26658720. Its totient is φ = 1327104.

The previous prime is 6168949. The next prime is 6168971. The reversal of 6168960 is 698616.

It is an interprime number because it is at equal distance from previous prime (6168949) and next prime (6168971).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362872 + ... + 362888.

Almost surely, 2^6168960 is an apocalyptic number.

6168960 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 6168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329360).

6168960 is an abundant number, since it is smaller than the sum of its proper divisors (20489760).

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

6168960 is a wasteful number, since it uses less digits than its factorization.

6168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6168960 is about 2483.7391167351. The cubic root of 6168960 is about 183.4019651214.

The spelling of 6168960 in words is "six million, one hundred sixty-eight thousand, nine hundred sixty".