51648688 has 80 divisors (see below), whose sum is σ = 129713920. Its totient is φ = 19346688.

The previous prime is 51648679. The next prime is 51648689. The reversal of 51648688 is 88684615.

It is a super-3 number, since 3×51648688³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51648689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26731 + ... + 28597.

It is an arithmetic number, because the mean of its divisors is an integer number (1621424).

Almost surely, 2^51648688 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 51648688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64856960).

51648688 is an abundant number, since it is smaller than the sum of its proper divisors (78065232).

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

51648688 is a wasteful number, since it uses less digits than its factorization.

51648688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The square root of 51648688 is about 7186.7021644145. The cubic root of 51648688 is about 372.4086540877.

The spelling of 51648688 in words is "fifty-one million, six hundred forty-eight thousand, six hundred eighty-eight".