51765660 has 72 divisors (see below), whose sum is σ = 162105216. Its totient is φ = 13357440.

The previous prime is 51765653. The next prime is 51765661. The reversal of 51765660 is 6656715.

It is a happy number.

51765660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51765661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942 + ... + 10218.

Almost surely, 2^51765660 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 51765660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81052608).

51765660 is an abundant number, since it is smaller than the sum of its proper divisors (110339556).

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

51765660 is a wasteful number, since it uses less digits than its factorization.

51765660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 51765660 is about 7194.8356478797. The cubic root of 51765660 is about 372.6895811399.

It can be divided in two parts, 51765 and 660, that added together give a palindrome (52425).

The spelling of 51765660 in words is "fifty-one million, seven hundred sixty-five thousand, six hundred sixty".