5934400 has 42 divisors (see below), whose sum is σ = 14606270. Its totient is φ = 2373120.

The previous prime is 5934359. The next prime is 5934407. The reversal of 5934400 is 44395.

It can be written as a sum of positive squares in 3 ways, for example, as 97344 + 5837056 = 312^2 + 2416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5934407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255 + ... + 3454.

Almost surely, 2^5934400 is an apocalyptic number.

5934400 is a gapful number since it is divisible by the number (50) 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 5934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303135).

5934400 is an abundant number, since it is smaller than the sum of its proper divisors (8671870).

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

5934400 is a wasteful number, since it uses less digits than its factorization.

5934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5934400 is about 2436.0623965736. The cubic root of 5934400 is about 181.0473915157.

Adding to 5934400 its reverse (44395), we get a palindrome (5978795).

The spelling of 5934400 in words is "five million, nine hundred thirty-four thousand, four hundred".