51830768 has 40 divisors (see below), whose sum is σ = 110015280. Its totient is φ = 23459840.

The previous prime is 51830759. The next prime is 51830771. The reversal of 51830768 is 86703815.

It is a super-3 number, since 3×51830768³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55328 + ... + 56256.

It is an arithmetic number, because the mean of its divisors is an integer number (2750382).

Almost surely, 2^51830768 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 51830768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55007640).

51830768 is an abundant number, since it is smaller than the sum of its proper divisors (58184512).

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

51830768 is a wasteful number, since it uses less digits than its factorization.

51830768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 51830768 is about 7199.3588603431. The cubic root of 51830768 is about 372.8457651639.

The spelling of 51830768 in words is "fifty-one million, eight hundred thirty thousand, seven hundred sixty-eight".