6334400 has 84 divisors (see below), whose sum is σ = 16157448. Its totient is φ = 2442240.

The previous prime is 6334399. The next prime is 6334411. The reversal of 6334400 is 44336.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 59147 + ... + 59253.

Almost surely, 2^6334400 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 6334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078724).

6334400 is an abundant number, since it is smaller than the sum of its proper divisors (9823048).

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

6334400 is a wasteful number, since it uses less digits than its factorization.

6334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 6334400 is about 2516.8233946783. The cubic root of 6334400 is about 185.0270230796.

Adding to 6334400 its reverse (44336), we get a palindrome (6378736).

Subtracting from 6334400 its reverse (44336), we obtain a square (6290064 = 2508²).

The spelling of 6334400 in words is "six million, three hundred thirty-four thousand, four hundred".