6412160 has 64 divisors (see below), whose sum is σ = 15752880. Its totient is φ = 2494464.

The previous prime is 6412157. The next prime is 6412171. The reversal of 6412160 is 612146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6412160² = 82231591731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27404 + ... + 27636.

Almost surely, 2^6412160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876440).

6412160 is an abundant number, since it is smaller than the sum of its proper divisors (9340720).

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

6412160 is a wasteful number, since it uses less digits than its factorization.

6412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6412160 is about 2532.2243186574. The cubic root of 6412160 is about 185.7810658684.

The spelling of 6412160 in words is "six million, four hundred twelve thousand, one hundred sixty".