6336960 has 224 divisors, whose sum is σ = 24579072. Its totient is φ = 1351680.

The previous prime is 6336949. The next prime is 6336973. The reversal of 6336960 is 696336.

6336960 = T₁₃₉ + T₁₄₀ + ... + T₃₄₃.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154540 + ... + 154580.

It is an arithmetic number, because the mean of its divisors is an integer number (109728).

Almost surely, 2^6336960 is an apocalyptic number.

6336960 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 6336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536).

6336960 is an abundant number, since it is smaller than the sum of its proper divisors (18242112).

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

6336960 is a wasteful number, since it uses less digits than its factorization.

6336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 6336960 is about 2517.3319209036. The cubic root of 6336960 is about 185.0519454812.

The spelling of 6336960 in words is "six million, three hundred thirty-six thousand, nine hundred sixty".