332668800 has 144 divisors (see below), whose sum is σ = 1187141280. Its totient is φ = 88704000.

The previous prime is 332668783. The next prime is 332668823. The reversal of 332668800 is 8866233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×332668800² = 221337060986880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 23025 + ... + 34575.

Almost surely, 2^332668800 is an apocalyptic number.

332668800 is a gapful number since it is divisible by the number (30) 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 332668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593570640).

332668800 is an abundant number, since it is smaller than the sum of its proper divisors (854472480).

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

332668800 is a wasteful number, since it uses less digits than its factorization.

332668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11561 counting only the distinct ones).

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

The square root of 332668800 is about 18239.2105092298. The cubic root of 332668800 is about 692.9002061407.

The spelling of 332668800 in words is "three hundred thirty-two million, six hundred sixty-eight thousand, eight hundred".