1064595840 has 512 divisors, whose sum is σ = 4465152000. Its totient is φ = 209018880.

The previous prime is 1064595827. The next prime is 1064595907. The reversal of 1064595840 is 485954601.

1064595840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064595840² = 2266728605090611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1064595792 and 1064595801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2808771 + ... + 2809149.

It is an arithmetic number, because the mean of its divisors is an integer number (8721000).

Almost surely, 2^1064595840 is an apocalyptic number.

1064595840 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 1064595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232576000).

1064595840 is an abundant number, since it is smaller than the sum of its proper divisors (3400556160).

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

1064595840 is a wasteful number, since it uses less digits than its factorization.

1064595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1064595840 is about 32628.1449058937. The cubic root of 1064595840 is about 1021.0842756712.

The spelling of 1064595840 in words is "one billion, sixty-four million, five hundred ninety-five thousand, eight hundred forty".