5894400 has 108 divisors (see below), whose sum is σ = 19516112. Its totient is φ = 1566720.

The previous prime is 5894377. The next prime is 5894401. The reversal of 5894400 is 44985.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5894401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19047 + ... + 19353.

Almost surely, 2^5894400 is an apocalyptic number.

5894400 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 5894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758056).

5894400 is an abundant number, since it is smaller than the sum of its proper divisors (13621712).

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

5894400 is a wasteful number, since it uses less digits than its factorization.

5894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5894400 is about 2427.8385448790. The cubic root of 5894400 is about 180.6396991985.

The spelling of 5894400 in words is "five million, eight hundred ninety-four thousand, four hundred".