5868000 has 144 divisors (see below), whose sum is σ = 20953296. Its totient is φ = 1555200.

The previous prime is 5867993. The next prime is 5868019. The reversal of 5868000 is 8685.

5868000 is a `hidden beast` number, since 586 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35919 + ... + 36081.

It is an arithmetic number, because the mean of its divisors is an integer number (145509).

Almost surely, 2^5868000 is an apocalyptic number.

5868000 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 5868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476648).

5868000 is an abundant number, since it is smaller than the sum of its proper divisors (15085296).

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

5868000 is a wasteful number, since it uses less digits than its factorization.

5868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5868000 is about 2422.3955085824. The cubic root of 5868000 is about 180.3696108942.

The spelling of 5868000 in words is "five million, eight hundred sixty-eight thousand".