1064085840 has 60 divisors (see below), whose sum is σ = 3573557364. Its totient is φ = 283756032.

The previous prime is 1064085817. The next prime is 1064085877. The reversal of 1064085840 is 485804601.

1064085840 is a `hidden beast` number, since 1 + 0 + 640 + 8 + 5 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 415670544 + 648415296 = 20388^2 + 25464^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1064085840² = 2264557349777011200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1064085795 and 1064085804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738229 + ... + 739668.

Almost surely, 2^1064085840 is an apocalyptic number.

1064085840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064085840 is an abundant number, since it is smaller than the sum of its proper divisors (2509471524).

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

1064085840 is a wasteful number, since it uses less digits than its factorization.

1064085840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477916 (or 1477907 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1064085840 is about 32620.3286310852. The cubic root of 1064085840 is about 1020.9211977720.

The spelling of 1064085840 in words is "one billion, sixty-four million, eighty-five thousand, eight hundred forty".