64304064 has 224 divisors, whose sum is σ = 219456000. Its totient is φ = 18247680.

The previous prime is 64304029. The next prime is 64304069. The reversal of 64304064 is 46040346.

It is a happy number.

64304064 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64304069) 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 31 ways as a sum of consecutive naturals, for example, 323037 + ... + 323235.

Almost surely, 2^64304064 is an apocalyptic number.

64304064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109728000).

64304064 is an abundant number, since it is smaller than the sum of its proper divisors (155151936).

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

64304064 is a wasteful number, since it uses less digits than its factorization.

64304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 64304064 is about 8018.9814814601. The cubic root of 64304064 is about 400.6324661062.

The spelling of 64304064 in words is "sixty-four million, three hundred four thousand, sixty-four".