5864400 has 150 divisors (see below), whose sum is σ = 21163142. Its totient is φ = 1555200.

The previous prime is 5864347. The next prime is 5864401. The reversal of 5864400 is 44685.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 5817744 = 216^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5864401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32310 + ... + 32490.

Almost surely, 2^5864400 is an apocalyptic number.

5864400 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 5864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581571).

5864400 is an abundant number, since it is smaller than the sum of its proper divisors (15298742).

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

5864400 is a wasteful number, since it uses less digits than its factorization.

5864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5864400 is about 2421.6523284733. The cubic root of 5864400 is about 180.3327179476.

The spelling of 5864400 in words is "five million, eight hundred sixty-four thousand, four hundred".