51007684 has 48 divisors (see below), whose sum is σ = 116339328. Its totient is φ = 18989568.

The previous prime is 51007681. The next prime is 51007687. The reversal of 51007684 is 48670015.

It is an interprime number because it is at equal distance from previous prime (51007681) and next prime (51007687).

It is not an unprimeable number, because it can be changed into a prime (51007681) 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, 2067 + ... + 10309.

It is an arithmetic number, because the mean of its divisors is an integer number (2423736).

Almost surely, 2^51007684 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 51007684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58169664).

51007684 is an abundant number, since it is smaller than the sum of its proper divisors (65331644).

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

51007684 is a wasteful number, since it uses less digits than its factorization.

51007684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 51007684 is about 7141.9663958885. The cubic root of 51007684 is about 370.8616005497.

Adding to 51007684 its reverse (48670015), we get a palindrome (99677699).

The spelling of 51007684 in words is "fifty-one million, seven thousand, six hundred eighty-four".