64214304 has 288 divisors, whose sum is σ = 229594176. Its totient is φ = 15482880.

The previous prime is 64214303. The next prime is 64214309. The reversal of 64214304 is 40341246.

64214304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (64214303) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 879612 + ... + 879684.

It is an arithmetic number, because the mean of its divisors is an integer number (797202).

Almost surely, 2^64214304 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 64214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114797088).

64214304 is an abundant number, since it is smaller than the sum of its proper divisors (165379872).

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

64214304 is a wasteful number, since it uses less digits than its factorization.

64214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 64214304 is about 8013.3828062810. The cubic root of 64214304 is about 400.4459692604.

The spelling of 64214304 in words is "sixty-four million, two hundred fourteen thousand, three hundred four".