6461824 has 32 divisors (see below), whose sum is σ = 13555800. Its totient is φ = 3059712.

The previous prime is 6461821. The next prime is 6461831. The reversal of 6461824 is 4281646.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104 + ... + 3760.

Almost surely, 2^6461824 is an apocalyptic number.

6461824 is a gapful number since it is divisible by the number (64) 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 6461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777900).

6461824 is an abundant number, since it is smaller than the sum of its proper divisors (7093976).

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

6461824 is a wasteful number, since it uses less digits than its factorization.

6461824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2678 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 6461824 is about 2542.0118017035. The cubic root of 6461824 is about 186.2594752172.

The spelling of 6461824 in words is "six million, four hundred sixty-one thousand, eight hundred twenty-four".