6412824 has 64 divisors (see below), whose sum is σ = 19440000. Its totient is φ = 1942560.

The previous prime is 6412807. The next prime is 6412871. The reversal of 6412824 is 4282146.

It is a super-2 number, since 2×6412824² = 82248623309952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1027 + ... + 3725.

It is an arithmetic number, because the mean of its divisors is an integer number (303750).

Almost surely, 2^6412824 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 6412824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720000).

6412824 is an abundant number, since it is smaller than the sum of its proper divisors (13027176).

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

6412824 is a wasteful number, since it uses less digits than its factorization.

6412824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2715 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 6412824 is about 2532.3554252908. The cubic root of 6412824 is about 185.7874783914.

The spelling of 6412824 in words is "six million, four hundred twelve thousand, eight hundred twenty-four".