51627648 has 64 divisors (see below), whose sum is σ = 141592320. Its totient is φ = 16650240.

The previous prime is 51627647. The next prime is 51627677. The reversal of 51627648 is 84672615.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (51627643) 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, 9736 + ... + 14072.

It is an arithmetic number, because the mean of its divisors is an integer number (2212380).

Almost surely, 2^51627648 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 51627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70796160).

51627648 is an abundant number, since it is smaller than the sum of its proper divisors (89964672).

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

51627648 is a wasteful number, since it uses less digits than its factorization.

51627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4373 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 51627648 is about 7185.2382006444. The cubic root of 51627648 is about 372.3580781512.

The spelling of 51627648 in words is "fifty-one million, six hundred twenty-seven thousand, six hundred forty-eight".