1664312832 has 560 divisors, whose sum is σ = 6261578400. Its totient is φ = 438939648.

The previous prime is 1664312827. The next prime is 1664312849. The reversal of 1664312832 is 2382134661.

1664312832 is a `hidden beast` number, since 1 + 6 + 643 + 1 + 2 + 8 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 128024058 + ... + 128024070.

It is an arithmetic number, because the mean of its divisors is an integer number (11181390).

Almost surely, 2^1664312832 is an apocalyptic number.

1664312832 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 1664312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130789200).

1664312832 is an abundant number, since it is smaller than the sum of its proper divisors (4597265568).

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

1664312832 is an frugal number, since it uses more digits than its factorization.

1664312832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1664312832 is about 40795.9903912137. The cubic root of 1664312832 is about 1185.0726826113.

The spelling of 1664312832 in words is "one billion, six hundred sixty-four million, three hundred twelve thousand, eight hundred thirty-two".