64580880 has 160 divisors (see below), whose sum is σ = 246484224. Its totient is φ = 13621248.

The previous prime is 64580861. The next prime is 64580891. The reversal of 64580880 is 8808546.

64580880 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 (39).

It is an unprimeable number.

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, 20362 + ... + 23318.

Almost surely, 2^64580880 is an apocalyptic number.

64580880 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 64580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123242112).

64580880 is an abundant number, since it is smaller than the sum of its proper divisors (181903344).

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

64580880 is a wasteful number, since it uses less digits than its factorization.

64580880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 64580880 is about 8036.2229934217. Note that the first 3 decimals coincide. The cubic root of 64580880 is about 401.2065237587.

The spelling of 64580880 in words is "sixty-four million, five hundred eighty thousand, eight hundred eighty".