51935760 has 120 divisors (see below), whose sum is σ = 177839064. Its totient is φ = 13578240.

The previous prime is 51935749. The next prime is 51935783. The reversal of 51935760 is 6753915.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 48608784 = 1824^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37480 + ... + 38840.

Almost surely, 2^51935760 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 51935760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88919532).

51935760 is an abundant number, since it is smaller than the sum of its proper divisors (125903304).

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

51935760 is a wasteful number, since it uses less digits than its factorization.

51935760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 51935760 is about 7206.6469318262. The cubic root of 51935760 is about 373.0973494489.

The spelling of 51935760 in words is "fifty-one million, nine hundred thirty-five thousand, seven hundred sixty".