6401584 has 40 divisors (see below), whose sum is σ = 14422688. Its totient is φ = 2695680.

The previous prime is 6401579. The next prime is 6401587. The reversal of 6401584 is 4851046.

It is a super-4 number, since 4×6401584⁴ (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

6401584 is a modest number, since divided by 1584 gives 640 as remainder.

It is not an unprimeable number, because it can be changed into a prime (6401587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6364 + ... + 7300.

Almost surely, 2^6401584 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 6401584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211344).

6401584 is an abundant number, since it is smaller than the sum of its proper divisors (8021104).

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

6401584 is a wasteful number, since it uses less digits than its factorization.

6401584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 6401584 is about 2530.1351742545. The cubic root of 6401584 is about 185.6788693242.

The spelling of 6401584 in words is "six million, four hundred one thousand, five hundred eighty-four".