64217296 has 120 divisors (see below), whose sum is σ = 156847104. Its totient is φ = 25159680.

The previous prime is 64217269. The next prime is 64217317. The reversal of 64217296 is 69271246.

64217296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64217296² = 8247722211103232, which contains 22 as substring.

Its product of digits (36288) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 505585 + ... + 505711.

Almost surely, 2^64217296 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 64217296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78423552).

64217296 is an abundant number, since it is smaller than the sum of its proper divisors (92629808).

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

64217296 is a wasteful number, since it uses less digits than its factorization.

64217296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 64217296 is about 8013.5694918058. The cubic root of 64217296 is about 400.4521886210.

The spelling of 64217296 in words is "sixty-four million, two hundred seventeen thousand, two hundred ninety-six".