51206688 has 192 divisors, whose sum is σ = 165957120. Its totient is φ = 15261696.

The previous prime is 51206629. The next prime is 51206707. The reversal of 51206688 is 88660215.

It is a happy number.

51206688 is a `hidden beast` number, since 512 + 0 + 66 + 88 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527856 + ... + 527952.

It is an arithmetic number, because the mean of its divisors is an integer number (864360).

Almost surely, 2^51206688 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 51206688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978560).

51206688 is an abundant number, since it is smaller than the sum of its proper divisors (114750432).

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

51206688 is a wasteful number, since it uses less digits than its factorization.

51206688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

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

The square root of 51206688 is about 7155.8848509461. The cubic root of 51206688 is about 371.3432741862.

The spelling of 51206688 in words is "fifty-one million, two hundred six thousand, six hundred eighty-eight".