1064655648 has 144 divisors (see below), whose sum is σ = 3610728576. Its totient is φ = 290949120.

The previous prime is 1064655551. The next prime is 1064655673. The reversal of 1064655648 is 8465564601.

1064655648 is a `hidden beast` number, since 10 + 6 + 46 + 556 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1064655648² = 2266983297636599808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34888 + ... + 57848.

It is an arithmetic number, because the mean of its divisors is an integer number (25074504).

Almost surely, 2^1064655648 is an apocalyptic number.

1064655648 is a gapful number since it is divisible by the number (18) 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 1064655648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805364288).

1064655648 is an abundant number, since it is smaller than the sum of its proper divisors (2546072928).

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

1064655648 is a wasteful number, since it uses less digits than its factorization.

1064655648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23007 (or 22996 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 1064655648 is about 32629.0614023756. The cubic root of 1064655648 is about 1021.1033965001.

The spelling of 1064655648 in words is "one billion, sixty-four million, six hundred fifty-five thousand, six hundred forty-eight".