51946560 has 168 divisors, whose sum is σ = 189363096. Its totient is φ = 13025280.

The previous prime is 51946553. The next prime is 51946561. The reversal of 51946560 is 6564915.

51946560 is a `hidden beast` number, since 5 + 1 + 94 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 37748736 = 3768^2 + 6144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (51946561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48430 + ... + 49490.

Almost surely, 2^51946560 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 51946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94681548).

51946560 is an abundant number, since it is smaller than the sum of its proper divisors (137416536).

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

51946560 is a wasteful number, since it uses less digits than its factorization.

51946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 51946560 is about 7207.3962011256. The cubic root of 51946560 is about 373.1232094221.

The spelling of 51946560 in words is "fifty-one million, nine hundred forty-six thousand, five hundred sixty".