56826000 has 480 divisors, whose sum is σ = 253483776. Its totient is φ = 11520000.

The previous prime is 56825999. The next prime is 56826013. The reversal of 56826000 is 62865.

56826000 is a `hidden beast` number, since 56 + 8 + 2 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1385980 + ... + 1386020.

Almost surely, 2^56826000 is an apocalyptic number.

56826000 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 56826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

56826000 is an abundant number, since it is smaller than the sum of its proper divisors (196657776).

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

56826000 is a wasteful number, since it uses less digits than its factorization.

56826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56826000 is about 7538.3021961182. The cubic root of 56826000 is about 384.4581121090.

Adding to 56826000 its reverse (62865), we get a palindrome (56888865).

The spelling of 56826000 in words is "fifty-six million, eight hundred twenty-six thousand".