6446160 has 120 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 1472256.

The previous prime is 6446159. The next prime is 6446183. The reversal of 6446160 is 616446.

6446160 is a `hidden beast` number, since 6 + 44 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4401 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (206336).

Almost surely, 2^6446160 is an apocalyptic number.

6446160 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 6446160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

6446160 is an abundant number, since it is smaller than the sum of its proper divisors (18314160).

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

6446160 is a wasteful number, since it uses less digits than its factorization.

6446160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6446160 is about 2538.9289080240. The cubic root of 6446160 is about 186.1088506116.

The spelling of 6446160 in words is "six million, four hundred forty-six thousand, one hundred sixty".