51406560 has 144 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 13224960.

The previous prime is 51406547. The next prime is 51406567. The reversal of 51406560 is 6560415.

It is a happy number.

51406560 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51406560² = 5285268822067200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51406567) 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, 41145 + ... + 42375.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 2^51406560 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 51406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

51406560 is an abundant number, since it is smaller than the sum of its proper divisors (130214880).

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

51406560 is a wasteful number, since it uses less digits than its factorization.

51406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 51406560 is about 7169.8368182268. The cubic root of 51406560 is about 371.8257942568.

Adding to 51406560 its reverse (6560415), we get a palindrome (57966975).

The spelling of 51406560 in words is "fifty-one million, four hundred six thousand, five hundred sixty".