1064004600 has 96 divisors (see below), whose sum is σ = 3307824000. Its totient is φ = 282925440.

The previous prime is 1064004593. The next prime is 1064004607. The reversal of 1064004600 is 64004601.

It is an interprime number because it is at equal distance from previous prime (1064004593) and next prime (1064004607).

It is a super-2 number, since 2×1064004600² = 2264211577642320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064004607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225061 + ... + 229739.

It is an arithmetic number, because the mean of its divisors is an integer number (34456500).

Almost surely, 2^1064004600 is an apocalyptic number.

1064004600 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 1064004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653912000).

1064004600 is an abundant number, since it is smaller than the sum of its proper divisors (2243819400).

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

1064004600 is a wasteful number, since it uses less digits than its factorization.

1064004600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1064004600 is about 32619.0833715480. The cubic root of 1064004600 is about 1020.8952156110.

Subtracting from 1064004600 its reverse (64004601), we obtain a palindrome (999999999).

The spelling of 1064004600 in words is "one billion, sixty-four million, four thousand, six hundred".