6401160 has 64 divisors (see below), whose sum is σ = 21340800. Its totient is φ = 1706688.

The previous prime is 6401149. The next prime is 6401179. The reversal of 6401160 is 611046.

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

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, 1884 + ... + 4043.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 2^6401160 is an apocalyptic number.

6401160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6401160 is an abundant number, since it is smaller than the sum of its proper divisors (14939640).

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

6401160 is a wasteful number, since it uses less digits than its factorization.

6401160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5937 counting only the distinct ones).

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

The square root of 6401160 is about 2530.0513828774. The cubic root of 6401160 is about 185.6747698399.

It can be divided in two parts, 6401 and 160, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6401160 in words is "six million, four hundred one thousand, one hundred sixty".