6180960 has 96 divisors (see below), whose sum is σ = 19837440. Its totient is φ = 1617408.

The previous prime is 6180953. The next prime is 6180989. The reversal of 6180960 is 690816.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 37839 + ... + 38001.

It is an arithmetic number, because the mean of its divisors is an integer number (206640).

Almost surely, 2^6180960 is an apocalyptic number.

6180960 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 6180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918720).

6180960 is an abundant number, since it is smaller than the sum of its proper divisors (13656480).

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

6180960 is a wasteful number, since it uses less digits than its factorization.

6180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6180960 is about 2486.1536557502. The cubic root of 6180960 is about 183.5208073082.

It can be divided in two parts, 6180 and 960, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 6180960 in words is "six million, one hundred eighty thousand, nine hundred sixty".