1064610560 has 144 divisors (see below), whose sum is σ = 2772203616. Its totient is φ = 389382144.

The previous prime is 1064610529. The next prime is 1064610607. The reversal of 1064610560 is 650164601.

1064610560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064610560² = 2266791288927027200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279447 + ... + 2279913.

It is an arithmetic number, because the mean of its divisors is an integer number (19251414).

Almost surely, 2^1064610560 is an apocalyptic number.

1064610560 is a gapful number since it is divisible by the number (10) 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 1064610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386101808).

1064610560 is an abundant number, since it is smaller than the sum of its proper divisors (1707593056).

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

1064610560 is a wasteful number, since it uses less digits than its factorization.

1064610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1064610560 is about 32628.3704772396. The cubic root of 1064610560 is about 1021.0889817736.

The spelling of 1064610560 in words is "one billion, sixty-four million, six hundred ten thousand, five hundred sixty".