1064255040 has 168 divisors, whose sum is σ = 3750292728. Its totient is φ = 276848640.

The previous prime is 1064255033. The next prime is 1064255053. The reversal of 1064255040 is 405524601.

1064255040 is a `hidden beast` number, since 10 + 64 + 2 + 550 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 1063803456 = 672^2 + 32616^2 .

It is a super-2 number, since 2×1064255040² = 2265277580330803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064254995 and 1064255013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113574 + ... + 122586.

It is an arithmetic number, because the mean of its divisors is an integer number (22323171).

Almost surely, 2^1064255040 is an apocalyptic number.

1064255040 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 1064255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875146364).

1064255040 is an abundant number, since it is smaller than the sum of its proper divisors (2686037688).

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

1064255040 is a wasteful number, since it uses less digits than its factorization.

1064255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1064255040 is about 32622.9220027882. The cubic root of 1064255040 is about 1020.9753070381.

Adding to 1064255040 its reverse (405524601), we get a palindrome (1469779641).

The spelling of 1064255040 in words is "one billion, sixty-four million, two hundred fifty-five thousand, forty".