51566760 has 256 divisors, whose sum is σ = 207360000. Its totient is φ = 11135232.

The previous prime is 51566747. The next prime is 51566771. The reversal of 51566760 is 6766515.

It is a happy number.

It is a Cunningham number, because it is equal to 7181²-1.

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 63 ways as a sum of consecutive naturals, for example, 143461 + ... + 143819.

It is an arithmetic number, because the mean of its divisors is an integer number (810000).

Almost surely, 2^51566760 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 51566760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

51566760 is an abundant number, since it is smaller than the sum of its proper divisors (155793240).

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

51566760 is a wasteful number, since it uses less digits than its factorization.

51566760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

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

The square root of 51566760 is about 7180.9999303718. Note that the first 4 decimals coincide. The cubic root of 51566760 is about 372.2116381568.

It can be divided in two parts, 51566 and 760, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 51566760 in words is "fifty-one million, five hundred sixty-six thousand, seven hundred sixty".