1064683440 has 200 divisors, whose sum is σ = 3784789008. Its totient is φ = 277240320.

The previous prime is 1064683393. The next prime is 1064683441. The reversal of 1064683440 is 443864601.

1064683440 is a `hidden beast` number, since 1 + 0 + 646 + 8 + 3 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×1064683440² = 2267101654820467200, 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 = 1064683395 and 1064683404.

It is not an unprimeable number, because it can be changed into a prime (1064683441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276730 + ... + 280550.

Almost surely, 2^1064683440 is an apocalyptic number.

1064683440 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 1064683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892394504).

1064683440 is an abundant number, since it is smaller than the sum of its proper divisors (2720105568).

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

1064683440 is a wasteful number, since it uses less digits than its factorization.

1064683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1064683440 is about 32629.4872776144. The cubic root of 1064683440 is about 1021.1122814570.

The spelling of 1064683440 in words is "one billion, sixty-four million, six hundred eighty-three thousand, four hundred forty".