63805456 has 80 divisors (see below), whose sum is σ = 147490560. Its totient is φ = 26357760.

The previous prime is 63805447. The next prime is 63805457. The reversal of 63805456 is 65450836.

63805456 is a nontrivial binomial coefficient, being equal to C(11297, 2).

It is a super-2 number, since 2×63805456² = 8142272430735872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63805457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180576 + ... + 180928.

It is an arithmetic number, because the mean of its divisors is an integer number (1843632).

Almost surely, 2^63805456 is an apocalyptic number.

63805456 is the 11296-th triangular number.

63805456 is the 3766-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63805456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73745280).

63805456 is an abundant number, since it is smaller than the sum of its proper divisors (83685104).

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

63805456 is a wasteful number, since it uses less digits than its factorization.

63805456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 63805456 is about 7987.8317458494. The cubic root of 63805456 is about 399.5942886348.

It can be divided in two parts, 63805 and 456, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 63805456 in words is "sixty-three million, eight hundred five thousand, four hundred fifty-six".