6410160 has 120 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 1645056.

The previous prime is 6410147. The next prime is 6410161. The reversal of 6410160 is 610146.

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

It is a super-3 number, since 3×6410160³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6410161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20727 + ... + 21033.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 2^6410160 is an apocalyptic number.

6410160 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 6410160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

6410160 is an abundant number, since it is smaller than the sum of its proper divisors (15932160).

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

6410160 is a wasteful number, since it uses less digits than its factorization.

6410160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6410160 is about 2531.8293781375. The cubic root of 6410160 is about 185.7617483649.

The spelling of 6410160 in words is "six million, four hundred ten thousand, one hundred sixty".