51967760 has 80 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 18968064.

The previous prime is 51967757. The next prime is 51967781. The reversal of 51967760 is 6776915.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111047 + ... + 111513.

Almost surely, 2^51967760 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 51967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

51967760 is an abundant number, since it is smaller than the sum of its proper divisors (79648816).

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

51967760 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (51967759) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (594).

51967760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 51967760 is about 7208.8667625363. The cubic root of 51967760 is about 373.1739611704.

The spelling of 51967760 in words is "fifty-one million, nine hundred sixty-seven thousand, seven hundred sixty".