51076160 has 112 divisors (see below), whose sum is σ = 132496560. Its totient is φ = 18677760.

The previous prime is 51076159. The next prime is 51076171. The reversal of 51076160 is 6167015.

It can be written as a sum of positive squares in 8 ways, for example, as 153664 + 50922496 = 392^2 + 7136^2 .

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, 222926 + ... + 223154.

It is an arithmetic number, because the mean of its divisors is an integer number (1183005).

Almost surely, 2^51076160 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 51076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66248280).

51076160 is an abundant number, since it is smaller than the sum of its proper divisors (81420400).

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

51076160 is a wasteful number, since it uses less digits than its factorization.

51076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 51076160 is about 7146.7587058750. The cubic root of 51076160 is about 371.0274825073.

The spelling of 51076160 in words is "fifty-one million, seventy-six thousand, one hundred sixty".