51834768 has 80 divisors (see below), whose sum is σ = 143115840. Its totient is φ = 16109568.

The previous prime is 51834767. The next prime is 51834781. The reversal of 51834768 is 86743815.

It is a super-2 number, since 2×51834768² = 5373686347227648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51834767) 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, 113196 + ... + 113652.

It is an arithmetic number, because the mean of its divisors is an integer number (1788948).

Almost surely, 2^51834768 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 51834768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71557920).

51834768 is an abundant number, since it is smaller than the sum of its proper divisors (91281072).

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

51834768 is a wasteful number, since it uses less digits than its factorization.

51834768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 51834768 is about 7199.6366574988. The cubic root of 51834768 is about 372.8553562797.

The spelling of 51834768 in words is "fifty-one million, eight hundred thirty-four thousand, seven hundred sixty-eight".