64563280 has 80 divisors (see below), whose sum is σ = 164520720. Its totient is φ = 23453696.

The previous prime is 64563269. The next prime is 64563281. The reversal of 64563280 is 8236546.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2972176 + 61591104 = 1724^2 + 7848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64563281) 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, 38622 + ... + 40258.

It is an arithmetic number, because the mean of its divisors is an integer number (2056509).

Almost surely, 2^64563280 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 64563280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82260360).

64563280 is an abundant number, since it is smaller than the sum of its proper divisors (99957440).

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

64563280 is a wasteful number, since it uses less digits than its factorization.

64563280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 64563280 is about 8035.1278770160. The cubic root of 64563280 is about 401.1700739799.

The spelling of 64563280 in words is "sixty-four million, five hundred sixty-three thousand, two hundred eighty".