56386000 has 120 divisors (see below), whose sum is σ = 150505992. Its totient is φ = 20416000.

The previous prime is 56385971. The next prime is 56386007. The reversal of 56386000 is 68365.

It can be written as a sum of positive squares in 4 ways, for example, as 7441984 + 48944016 = 2728^2 + 6996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56386000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56386007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241884 + ... + 242116.

Almost surely, 2^56386000 is an apocalyptic number.

56386000 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 56386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75252996).

56386000 is an abundant number, since it is smaller than the sum of its proper divisors (94119992).

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

56386000 is a wasteful number, since it uses less digits than its factorization.

56386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 56386000 is about 7509.0611929854. The cubic root of 56386000 is about 383.4632619846.

The spelling of 56386000 in words is "fifty-six million, three hundred eighty-six thousand".