1064102832 has 240 divisors, whose sum is σ = 3421760160. Its totient is φ = 318007296.

The previous prime is 1064102827. The next prime is 1064102833. The reversal of 1064102832 is 2382014601.

1064102832 is a `hidden beast` number, since 10 + 641 + 0 + 2 + 8 + 3 + 2 = 666.

It is a super-2 number, since 2×1064102832² = 2264629674140840448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1064102796 and 1064102805.

It is not an unprimeable number, because it can be changed into a prime (1064102833) 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 47 ways as a sum of consecutive naturals, for example, 1869844 + ... + 1870412.

It is an arithmetic number, because the mean of its divisors is an integer number (14257334).

Almost surely, 2^1064102832 is an apocalyptic number.

1064102832 is a gapful number since it is divisible by the number (12) 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 1064102832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710880080).

1064102832 is an abundant number, since it is smaller than the sum of its proper divisors (2357657328).

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

1064102832 is a wasteful number, since it uses less digits than its factorization.

1064102832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1064102832 is about 32620.5890811310. The cubic root of 1064102832 is about 1020.9266319829.

The spelling of 1064102832 in words is "one billion, sixty-four million, one hundred two thousand, eight hundred thirty-two".