51406080 has 144 divisors (see below), whose sum is σ = 179250624. Its totient is φ = 12451840.

The previous prime is 51406037. The next prime is 51406111. The reversal of 51406080 is 8060415.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51406080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41632 + ... + 42848.

It is an arithmetic number, because the mean of its divisors is an integer number (1244796).

Almost surely, 2^51406080 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 51406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89625312).

51406080 is an abundant number, since it is smaller than the sum of its proper divisors (127844544).

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

51406080 is a wasteful number, since it uses less digits than its factorization.

51406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 51406080 is about 7169.8033445834. The cubic root of 51406080 is about 371.8246369666.

Adding to 51406080 its reverse (8060415), we get a palindrome (59466495).

The spelling of 51406080 in words is "fifty-one million, four hundred six thousand, eighty".