332305664 has 72 divisors (see below), whose sum is σ = 726825960. Its totient is φ = 150929408.

The previous prime is 332305661. The next prime is 332305691. The reversal of 332305664 is 466503233.

It can be written as a sum of positive squares in 4 ways, for example, as 43033600 + 289272064 = 6560^2 + 17008^2 .

It is a super-2 number, since 2×332305664² = 220854108652961792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 332305664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332305661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124892 + ... + 127524.

It is an arithmetic number, because the mean of its divisors is an integer number (10094805).

Almost surely, 2^332305664 is an apocalyptic number.

332305664 is a gapful number since it is divisible by the number (34) 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 332305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363412980).

332305664 is an abundant number, since it is smaller than the sum of its proper divisors (394520296).

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

332305664 is a wasteful number, since it uses less digits than its factorization.

332305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The square root of 332305664 is about 18229.2529742719. The cubic root of 332305664 is about 692.6479947135.

Adding to 332305664 its reverse (466503233), we get a palindrome (798808897).

The spelling of 332305664 in words is "three hundred thirty-two million, three hundred five thousand, six hundred sixty-four".