6404160 has 112 divisors (see below), whose sum is σ = 23262336. Its totient is φ = 1462272.

The previous prime is 6404141. The next prime is 6404161. The reversal of 6404160 is 614046.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (6404161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6244 + ... + 7196.

Almost surely, 2^6404160 is an apocalyptic number.

6404160 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 6404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631168).

6404160 is an abundant number, since it is smaller than the sum of its proper divisors (16858176).

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

6404160 is a wasteful number, since it uses less digits than its factorization.

6404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6404160 is about 2530.6441867635. The cubic root of 6404160 is about 185.7037717350.

The spelling of 6404160 in words is "six million, four hundred four thousand, one hundred sixty".