51180768 has 96 divisors (see below), whose sum is σ = 153407520. Its totient is φ = 16588800.

The previous prime is 51180763. The next prime is 51180809. The reversal of 51180768 is 86708115.

51180768 is a `hidden beast` number, since 511 + 80 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51180763) 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, 31168 + ... + 32768.

It is an arithmetic number, because the mean of its divisors is an integer number (1597995).

Almost surely, 2^51180768 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 51180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76703760).

51180768 is an abundant number, since it is smaller than the sum of its proper divisors (102226752).

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

51180768 is a wasteful number, since it uses less digits than its factorization.

51180768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 51180768 is about 7154.0735249227. The cubic root of 51180768 is about 371.2806076183.

The spelling of 51180768 in words is "fifty-one million, one hundred eighty thousand, seven hundred sixty-eight".