51864064 has 80 divisors (see below), whose sum is σ = 122760000. Its totient is φ = 21417984.

The previous prime is 51864061. The next prime is 51864083. The reversal of 51864064 is 46046815.

It is a super-2 number, since 2×51864064² = 5379762269192192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51864061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103687 + ... + 104185.

It is an arithmetic number, because the mean of its divisors is an integer number (1534500).

Almost surely, 2^51864064 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 51864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61380000).

51864064 is an abundant number, since it is smaller than the sum of its proper divisors (70895936).

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

51864064 is an equidigital number, since it uses as much as digits as its factorization.

51864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 51864064 is about 7201.6709172247. The cubic root of 51864064 is about 372.9255865758.

The spelling of 51864064 in words is "fifty-one million, eight hundred sixty-four thousand, sixty-four".