51068584 has 64 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 21252672.

The previous prime is 51068581. The next prime is 51068609. The reversal of 51068584 is 48586015.

51068584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (51068581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101277 + ... + 101779.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^51068584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51068584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

51068584 is an abundant number, since it is smaller than the sum of its proper divisors (63843416).

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

51068584 is a wasteful number, since it uses less digits than its factorization.

51068584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 51068584 is about 7146.2286557316. The cubic root of 51068584 is about 371.0091370718.

The spelling of 51068584 in words is "fifty-one million, sixty-eight thousand, five hundred eighty-four".