51632340 has 48 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 13661440.

The previous prime is 51632327. The next prime is 51632351. The reversal of 51632340 is 4323615.

It is a happy number.

51632340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51632340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4576 + ... + 11144.

It is an arithmetic number, because the mean of its divisors is an integer number (3035340).

Almost surely, 2^51632340 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 51632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

51632340 is an abundant number, since it is smaller than the sum of its proper divisors (94063980).

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

51632340 is a wasteful number, since it uses less digits than its factorization.

51632340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 51632340 is about 7185.5646959721. The cubic root of 51632340 is about 372.3693579676.

Adding to 51632340 its reverse (4323615), we get a palindrome (55955955).

It can be divided in two parts, 5163 and 2340, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 51632340 in words is "fifty-one million, six hundred thirty-two thousand, three hundred forty".