51634128 has 80 divisors (see below), whose sum is σ = 164183936. Its totient is φ = 13616640.

The previous prime is 51634087. The next prime is 51634133. The reversal of 51634128 is 82143615.

It is a junction number, because it is equal to n+sod(n) for n = 51634095 and 51634104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1543 + ... + 10278.

Almost surely, 2^51634128 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 51634128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82091968).

51634128 is an abundant number, since it is smaller than the sum of its proper divisors (112549808).

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

51634128 is a wasteful number, since it uses less digits than its factorization.

51634128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11846 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 51634128 is about 7185.6891110039. The cubic root of 51634128 is about 372.3736562345.

The spelling of 51634128 in words is "fifty-one million, six hundred thirty-four thousand, one hundred twenty-eight".