51167440 has 40 divisors (see below), whose sum is σ = 119445480. Its totient is φ = 20384256.

The previous prime is 51167393. The next prime is 51167447. The reversal of 51167440 is 4476115.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 45914176 = 2292^2 + 6776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 51167399 and 51167408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51167447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21006 + ... + 23314.

It is an arithmetic number, because the mean of its divisors is an integer number (2986137).

Almost surely, 2^51167440 is an apocalyptic number.

It is an amenable number.

51167440 is an abundant number, since it is smaller than the sum of its proper divisors (68278040).

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

51167440 is a wasteful number, since it uses less digits than its factorization.

51167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 51167440 is about 7153.1419669960. The cubic root of 51167440 is about 371.2483763868.

The spelling of 51167440 in words is "fifty-one million, one hundred sixty-seven thousand, four hundred forty".