1064633856 has 320 divisors, whose sum is σ = 3448279296. Its totient is φ = 287539200.

The previous prime is 1064633849. The next prime is 1064633863. The reversal of 1064633856 is 6583364601.

It is an interprime number because it is at equal distance from previous prime (1064633849) and next prime (1064633863).

It is a super-2 number, since 2×1064633856² = 2266890494682857472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 8126911 + ... + 8127041.

Almost surely, 2^1064633856 is an apocalyptic number.

1064633856 is a gapful number since it is divisible by the number (16) 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 1064633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724139648).

1064633856 is an abundant number, since it is smaller than the sum of its proper divisors (2383645440).

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

1064633856 is a wasteful number, since it uses less digits than its factorization.

1064633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 1064633856 is about 32628.7274652261. The cubic root of 1064633856 is about 1021.0964296036.

The spelling of 1064633856 in words is "one billion, sixty-four million, six hundred thirty-three thousand, eight hundred fifty-six".