6349824 has 132 divisors (see below), whose sum is σ = 20117916. Its totient is φ = 1916928.

The previous prime is 6349787. The next prime is 6349843. The reversal of 6349824 is 4289436.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 3686400 = 1632^2 + 1920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 6² + 3¹³ + 4⁶ + 9 + 8⁵ + 2¹⁹ + 4¹¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119782 + ... + 119834.

Almost surely, 2^6349824 is an apocalyptic number.

6349824 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 6349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058958).

6349824 is an abundant number, since it is smaller than the sum of its proper divisors (13768092).

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

6349824 is a wasteful number, since it uses less digits than its factorization.

6349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 6349824 is about 2519.8857116941. The cubic root of 6349824 is about 185.1770790486.

The spelling of 6349824 in words is "six million, three hundred forty-nine thousand, eight hundred twenty-four".