333520672 has 36 divisors (see below), whose sum is σ = 667797858. Its totient is φ = 163968000.

The previous prime is 333520667. The next prime is 333520673. The reversal of 333520672 is 276025333.

It can be written as a sum of positive squares in 3 ways, for example, as 99920016 + 233600656 = 9996^2 + 15284^2 .

It is a super-2 number, since 2×333520672² = 222472077302663168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333520673) 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 5 ways as a sum of consecutive naturals, for example, 117672 + ... + 120472.

Almost surely, 2^333520672 is an apocalyptic number.

333520672 is a gapful number since it is divisible by the number (32) 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 333520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333898929).

333520672 is an abundant number, since it is smaller than the sum of its proper divisors (334277186).

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

333520672 is an equidigital number, since it uses as much as digits as its factorization.

333520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The square root of 333520672 is about 18262.5483435363. The cubic root of 333520672 is about 693.4911434008.

The spelling of 333520672 in words is "three hundred thirty-three million, five hundred twenty thousand, six hundred seventy-two".