6434160 has 160 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 1511424.

The previous prime is 6434137. The next prime is 6434167. The reversal of 6434160 is 614346.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6434160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77479 + ... + 77561.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^6434160 is an apocalyptic number.

6434160 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 6434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

6434160 is an abundant number, since it is smaller than the sum of its proper divisors (16064400).

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

6434160 is a wasteful number, since it uses less digits than its factorization.

6434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6434160 is about 2536.5646059188. The cubic root of 6434160 is about 185.9932937806.

The spelling of 6434160 in words is "six million, four hundred thirty-four thousand, one hundred sixty".