51412320 has 120 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 13706496.

The previous prime is 51412297. The next prime is 51412373. The reversal of 51412320 is 2321415.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51412293 and 51412302.

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 19 ways as a sum of consecutive naturals, for example, 10977 + ... + 14943.

Almost surely, 2^51412320 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 51412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

51412320 is an abundant number, since it is smaller than the sum of its proper divisors (130076064).

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

51412320 is a wasteful number, since it uses less digits than its factorization.

51412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51412320 is about 7170.2384897575. The cubic root of 51412320 is about 371.8396811783.

Adding to 51412320 its reverse (2321415), we get a palindrome (53733735).

The spelling of 51412320 in words is "fifty-one million, four hundred twelve thousand, three hundred twenty".