51288660 has 192 divisors, whose sum is σ = 174666240. Its totient is φ = 12441600.

The previous prime is 51288649. The next prime is 51288661. The reversal of 51288660 is 6688215.

It is a happy number.

51288660 is a `hidden beast` number, since 512 + 8 + 86 + 60 = 666.

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 (51288661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339585 + ... + 339735.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 2^51288660 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 51288660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

51288660 is an abundant number, since it is smaller than the sum of its proper divisors (123377580).

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

51288660 is a wasteful number, since it uses less digits than its factorization.

51288660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 51288660 is about 7161.6101541483. The cubic root of 51288660 is about 371.5413181252.

The spelling of 51288660 in words is "fifty-one million, two hundred eighty-eight thousand, six hundred sixty".