664040832 has 256 divisors, whose sum is σ = 2244587520. Its totient is φ = 169205760.

The previous prime is 664040827. The next prime is 664040833. The reversal of 664040832 is 238040466.

It is a junction number, because it is equal to n+sod(n) for n = 664040793 and 664040802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664040833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082958 + ... + 1083570.

It is an arithmetic number, because the mean of its divisors is an integer number (8767920).

Almost surely, 2^664040832 is an apocalyptic number.

664040832 is a gapful number since it is divisible by the number (62) 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 664040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122293760).

664040832 is an abundant number, since it is smaller than the sum of its proper divisors (1580546688).

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

664040832 is a wasteful number, since it uses less digits than its factorization.

664040832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 664040832 is about 25768.9897357269. The cubic root of 664040832 is about 872.4320166623.

The spelling of 664040832 in words is "six hundred sixty-four million, forty thousand, eight hundred thirty-two".