51766344 has 192 divisors, whose sum is σ = 172094400. Its totient is φ = 14370048.

The previous prime is 51766339. The next prime is 51766381. The reversal of 51766344 is 44366715.

It is a happy number.

51766344 is a `hidden beast` number, since 5 + 17 + 6 + 634 + 4 = 666.

It is a super-2 number, since 2×51766344² = 5359508742252672, which contains 22 as substring.

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 51766299 and 51766308.

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 47 ways as a sum of consecutive naturals, for example, 709092 + ... + 709164.

It is an arithmetic number, because the mean of its divisors is an integer number (896325).

Almost surely, 2^51766344 is an apocalyptic number.

51766344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51766344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86047200).

51766344 is an abundant number, since it is smaller than the sum of its proper divisors (120328056).

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

51766344 is a wasteful number, since it uses less digits than its factorization.

51766344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 51766344 is about 7194.8831818175. The cubic root of 51766344 is about 372.6912226306.

The spelling of 51766344 in words is "fifty-one million, seven hundred sixty-six thousand, three hundred forty-four".