1064309472 has 144 divisors (see below), whose sum is σ = 3234591360. Its totient is φ = 330967296.

The previous prime is 1064309461. The next prime is 1064309507. The reversal of 1064309472 is 2749034601.

1064309472 is a `hidden beast` number, since 1 + 0 + 643 + 0 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1064309472² = 2265509304377837568, which contains 22 as substring.

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

It is a congruent number.

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, 365173 + ... + 368075.

It is an arithmetic number, because the mean of its divisors is an integer number (22462440).

Almost surely, 2^1064309472 is an apocalyptic number.

1064309472 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 1064309472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617295680).

1064309472 is an abundant number, since it is smaller than the sum of its proper divisors (2170281888).

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

1064309472 is a wasteful number, since it uses less digits than its factorization.

1064309472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1064309472 is about 32623.7562521547. The cubic root of 1064309472 is about 1020.9927128849.

The spelling of 1064309472 in words is "one billion, sixty-four million, three hundred nine thousand, four hundred seventy-two".