64059520 has 128 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 21565440.

The previous prime is 64059497. The next prime is 64059529. The reversal of 64059520 is 2595046.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64059529) by changing a digit.

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, 353830 + ... + 354010.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^64059520 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 64059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

64059520 is an abundant number, since it is smaller than the sum of its proper divisors (114154880).

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

64059520 is a wasteful number, since it uses less digits than its factorization.

64059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 64059520 is about 8003.7191355019. The cubic root of 64059520 is about 400.1239615798.

The spelling of 64059520 in words is "sixty-four million, fifty-nine thousand, five hundred twenty".