51679936 has 56 divisors (see below), whose sum is σ = 127869696. Its totient is φ = 20133120.

The previous prime is 51679921. The next prime is 51679939. The reversal of 51679936 is 63997615.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (51679939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 10171.

Almost surely, 2^51679936 is an apocalyptic number.

51679936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51679936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63934848).

51679936 is an abundant number, since it is smaller than the sum of its proper divisors (76189760).

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

51679936 is a wasteful number, since it uses less digits than its factorization.

51679936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517 (or 10507 counting only the distinct ones).

The product of its digits is 306180, while the sum is 46.

The square root of 51679936 is about 7188.8758509241. The cubic root of 51679936 is about 372.4837426654.

The spelling of 51679936 in words is "fifty-one million, six hundred seventy-nine thousand, nine hundred thirty-six".