6000960 has 224 divisors, whose sum is σ = 23408640. Its totient is φ = 1271808.

The previous prime is 6000937. The next prime is 6000961. The reversal of 6000960 is 690006.

6000960 = T₅₆₈ + T₅₆₉ + ... + T₆₀₂.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127657 + ... + 127703.

Almost surely, 2^6000960 is an apocalyptic number.

6000960 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 6000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

6000960 is an abundant number, since it is smaller than the sum of its proper divisors (17407680).

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

6000960 is a wasteful number, since it uses less digits than its factorization.

6000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6000960 is about 2449.6856941249. The cubic root of 6000960 is about 181.7217500762.

Adding to 6000960 its reverse (690006), we get a palindrome (6690966).

It can be divided in two parts, 6000 and 960, that multiplied together give a square (5760000 = 2400²).

The spelling of 6000960 in words is "six million, nine hundred sixty", and thus it is an aban number.