51083676 has 120 divisors (see below), whose sum is σ = 155287440. Its totient is φ = 14521248.

The previous prime is 51083651. The next prime is 51083677. The reversal of 51083676 is 67638015.

51083676 is a `hidden beast` number, since 510 + 83 + 67 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51083676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51083677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259210 + ... + 259406.

It is an arithmetic number, because the mean of its divisors is an integer number (1294062).

Almost surely, 2^51083676 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 51083676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77643720).

51083676 is an abundant number, since it is smaller than the sum of its proper divisors (104203764).

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

51083676 is a wasteful number, since it uses less digits than its factorization.

51083676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 51083676 is about 7147.2845193122. The cubic root of 51083676 is about 371.0456808591.

It can be divided in two parts, 5 and 1083676, that added together give a square (1083681 = 1041²).

The spelling of 51083676 in words is "fifty-one million, eighty-three thousand, six hundred seventy-six".