6400160 has 96 divisors (see below), whose sum is σ = 17336592. Its totient is φ = 2211840.

The previous prime is 6400159. The next prime is 6400183. The reversal of 6400160 is 610046.

It can be written as a sum of positive squares in 8 ways, for example, as 659344 + 5740816 = 812^2 + 2396^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35270 + ... + 35450.

Almost surely, 2^6400160 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 6400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296).

6400160 is an abundant number, since it is smaller than the sum of its proper divisors (10936432).

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

6400160 is a wasteful number, since it uses less digits than its factorization.

6400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6400160 is about 2529.8537507137. The cubic root of 6400160 is about 185.6651005279.

The spelling of 6400160 in words is "six million, four hundred thousand, one hundred sixty".