51648064 has 56 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 22792704.

The previous prime is 51648049. The next prime is 51648097. The reversal of 51648064 is 46084615.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17787 + ... + 20485.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^51648064 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 51648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

51648064 is an abundant number, since it is smaller than the sum of its proper divisors (63566336).

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

51648064 is a wasteful number, since it uses less digits than its factorization.

51648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2737 counting only the distinct ones).

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

The square root of 51648064 is about 7186.6587507687. The cubic root of 51648064 is about 372.4071543146.

The spelling of 51648064 in words is "fifty-one million, six hundred forty-eight thousand, sixty-four".