64327920 has 80 divisors (see below), whose sum is σ = 209927040. Its totient is φ = 16250112.

The previous prime is 64327909. The next prime is 64327927. The reversal of 64327920 is 2972346.

64327920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64327927) 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 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 11613.

It is an arithmetic number, because the mean of its divisors is an integer number (2624088).

Almost surely, 2^64327920 is an apocalyptic number.

64327920 is a gapful number since it is divisible by the number (60) 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 64327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104963520).

64327920 is an abundant number, since it is smaller than the sum of its proper divisors (145599120).

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

64327920 is a wasteful number, since it uses less digits than its factorization.

64327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14142 (or 14136 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 64327920 is about 8020.4688142278. The cubic root of 64327920 is about 400.6820031849.

The spelling of 64327920 in words is "sixty-four million, three hundred twenty-seven thousand, nine hundred twenty".