323789664 has 96 divisors (see below), whose sum is σ = 952390656. Its totient is φ = 95454720.

The previous prime is 323789663. The next prime is 323789671. The reversal of 323789664 is 466987323.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323789663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34929 + ... + 43215.

It is an arithmetic number, because the mean of its divisors is an integer number (9920736).

Almost surely, 2^323789664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323789664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476195328).

323789664 is an abundant number, since it is smaller than the sum of its proper divisors (628600992).

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

323789664 is a wasteful number, since it uses less digits than its factorization.

323789664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8340 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 323789664 is about 17994.1563847823. The cubic root of 323789664 is about 686.6798870529.

It can be divided in two parts, 323 and 789664, that added together give a palindrome (789987).

The spelling of 323789664 in words is "three hundred twenty-three million, seven hundred eighty-nine thousand, six hundred sixty-four".