51967440 has 240 divisors, whose sum is σ = 208647360. Its totient is φ = 11854080.

The previous prime is 51967427. The next prime is 51967441. The reversal of 51967440 is 4476915.

51967440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51967440² = 5401229640307200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 51967395 and 51967404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51967441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 105595 + ... + 106085.

It is an arithmetic number, because the mean of its divisors is an integer number (869364).

Almost surely, 2^51967440 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 51967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104323680).

51967440 is an abundant number, since it is smaller than the sum of its proper divisors (156679920).

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

51967440 is a wasteful number, since it uses less digits than its factorization.

51967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 51967440 is about 7208.8445676128. The cubic root of 51967440 is about 373.1731952088.

The spelling of 51967440 in words is "fifty-one million, nine hundred sixty-seven thousand, four hundred forty".