5796000 has 288 divisors, whose sum is σ = 24530688. Its totient is φ = 1267200.

The previous prime is 5795987. The next prime is 5796001. The reversal of 5796000 is 6975.

5796000 is a `hidden beast` number, since 57 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5796001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251989 + ... + 252011.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

Almost surely, 2^5796000 is an apocalyptic number.

5796000 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 5796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344).

5796000 is an abundant number, since it is smaller than the sum of its proper divisors (18734688).

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

5796000 is a wasteful number, since it uses less digits than its factorization.

5796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5796000 is about 2407.4883177287. The cubic root of 5796000 is about 179.6288649264.

The spelling of 5796000 in words is "five million, seven hundred ninety-six thousand".