56393064 has 256 divisors, whose sum is σ = 204288000. Its totient is φ = 13996800.

The previous prime is 56393041. The next prime is 56393089. The reversal of 56393064 is 46039365.

56393064 is a `hidden beast` number, since 563 + 9 + 30 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373389 + ... + 373539.

It is an arithmetic number, because the mean of its divisors is an integer number (798000).

Almost surely, 2^56393064 is an apocalyptic number.

56393064 is a gapful number since it is divisible by the number (54) 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 56393064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144000).

56393064 is an abundant number, since it is smaller than the sum of its proper divisors (147894936).

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

56393064 is a wasteful number, since it uses less digits than its factorization.

56393064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 56393064 is about 7509.5315433121. The cubic root of 56393064 is about 383.4792746554.

The spelling of 56393064 in words is "fifty-six million, three hundred ninety-three thousand, sixty-four".