63433216 has 80 divisors (see below), whose sum is σ = 158114880. Its totient is φ = 24698880.

The previous prime is 63433199. The next prime is 63433219. The reversal of 63433216 is 61233436.

63433216 is a nontrivial binomial coefficient, being equal to C(11264, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (63433219) 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, 38620 + ... + 40228.

It is an arithmetic number, because the mean of its divisors is an integer number (1976436).

Almost surely, 2^63433216 is an apocalyptic number.

63433216 is the 11263-rd triangular number and also the 5632-nd hexagonal number.

63433216 is the 3755-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 63433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79057440).

63433216 is an abundant number, since it is smaller than the sum of its proper divisors (94681664).

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

63433216 is a wasteful number, since it uses less digits than its factorization.

63433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1629 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 63433216 is about 7964.4972220474. The cubic root of 63433216 is about 398.8156970267.

It can be divided in two parts, 6343 and 3216, that added together give a palindrome (9559).

The spelling of 63433216 in words is "sixty-three million, four hundred thirty-three thousand, two hundred sixteen".