1064105856 has 256 divisors, whose sum is σ = 3577996800. Its totient is φ = 308183040.

The previous prime is 1064105839. The next prime is 1064105869. The reversal of 1064105856 is 6585014601.

1064105856 is a `hidden beast` number, since 1 + 0 + 64 + 10 + 585 + 6 = 666.

It is a super-2 number, since 2×1064105856² = 2264642545546985472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1064105856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873760 + ... + 874976.

It is an arithmetic number, because the mean of its divisors is an integer number (13976550).

Almost surely, 2^1064105856 is an apocalyptic number.

1064105856 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 1064105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788998400).

1064105856 is an abundant number, since it is smaller than the sum of its proper divisors (2513890944).

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

1064105856 is a wasteful number, since it uses less digits than its factorization.

1064105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1064105856 is about 32620.6354321923. The cubic root of 1064105856 is about 1020.9275990822.

The spelling of 1064105856 in words is "one billion, sixty-four million, one hundred five thousand, eight hundred fifty-six".