64329984 has 144 divisors (see below), whose sum is σ = 195733440. Its totient is φ = 20828160.

The previous prime is 64329973. The next prime is 64330003. The reversal of 64329984 is 48992346.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 283279 + ... + 283505.

It is an arithmetic number, because the mean of its divisors is an integer number (1359260).

Almost surely, 2^64329984 is an apocalyptic number.

64329984 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 64329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97866720).

64329984 is an abundant number, since it is smaller than the sum of its proper divisors (131403456).

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

64329984 is a wasteful number, since it uses less digits than its factorization.

64329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 64329984 is about 8020.5974839784. The cubic root of 64329984 is about 400.6862885134.

The spelling of 64329984 in words is "sixty-four million, three hundred twenty-nine thousand, nine hundred eighty-four".