332181864 has 256 divisors, whose sum is σ = 1148928000. Its totient is φ = 86780160.

The previous prime is 332181841. The next prime is 332181869. The reversal of 332181864 is 468181233.

It is a super-2 number, since 2×332181864² = 220689581541028992, which contains 22 as substring.

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.

It is not an unprimeable number, because it can be changed into a prime (332181869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890382 + ... + 890754.

It is an arithmetic number, because the mean of its divisors is an integer number (4488000).

Almost surely, 2^332181864 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 332181864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574464000).

332181864 is an abundant number, since it is smaller than the sum of its proper divisors (816746136).

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

332181864 is a wasteful number, since it uses less digits than its factorization.

332181864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 332181864 is about 18225.8570168868. The cubic root of 332181864 is about 692.5619690230.

The spelling of 332181864 in words is "three hundred thirty-two million, one hundred eighty-one thousand, eight hundred sixty-four".