64385280 has 288 divisors, whose sum is σ = 241355520. Its totient is φ = 16422912.

The previous prime is 64385261. The next prime is 64385329. The reversal of 64385280 is 8258346.

64385280 is a `hidden beast` number, since 643 + 8 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2799349 + ... + 2799371.

It is an arithmetic number, because the mean of its divisors is an integer number (838040).

Almost surely, 2^64385280 is an apocalyptic number.

64385280 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 64385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677760).

64385280 is an abundant number, since it is smaller than the sum of its proper divisors (176970240).

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

64385280 is an frugal number, since it uses more digits than its factorization.

64385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 64385280 is about 8024.0438682749. The cubic root of 64385280 is about 400.8010613475.

The spelling of 64385280 in words is "sixty-four million, three hundred eighty-five thousand, two hundred eighty".