51197760 has 168 divisors, whose sum is σ = 182468520. Its totient is φ = 13160448.

The previous prime is 51197749. The next prime is 51197777. The reversal of 51197760 is 6779115.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 51151104 = 216^2 + 7152^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83214 + ... + 83826.

Almost surely, 2^51197760 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 51197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91234260).

51197760 is an abundant number, since it is smaller than the sum of its proper divisors (131270760).

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

51197760 is a wasteful number, since it uses less digits than its factorization.

51197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 51197760 is about 7155.2610015289. The cubic root of 51197760 is about 371.3216914231.

The spelling of 51197760 in words is "fifty-one million, one hundred ninety-seven thousand, seven hundred sixty".