5826000 has 80 divisors (see below), whose sum is σ = 18802368. Its totient is φ = 1552000.

The previous prime is 5825999. The next prime is 5826001. The reversal of 5826000 is 6285.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5825999) and next prime (5826001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5826001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5515 + ... + 6485.

Almost surely, 2^5826000 is an apocalyptic number.

5826000 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 5826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184).

5826000 is an abundant number, since it is smaller than the sum of its proper divisors (12976368).

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

5826000 is a wasteful number, since it uses less digits than its factorization.

5826000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5826000 is about 2413.7108360365. The cubic root of 5826000 is about 179.9382504240.

The spelling of 5826000 in words is "five million, eight hundred twenty-six thousand".