327842112 has 224 divisors, whose sum is σ = 1019576320. Its totient is φ = 92067840.

The previous prime is 327842107. The next prime is 327842117. The reversal of 327842112 is 211248723.

It is an interprime number because it is at equal distance from previous prime (327842107) and next prime (327842117).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 327842112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327842117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470033 + ... + 1470255.

It is an arithmetic number, because the mean of its divisors is an integer number (4551680).

Almost surely, 2^327842112 is an apocalyptic number.

327842112 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 327842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509788160).

327842112 is an abundant number, since it is smaller than the sum of its proper divisors (691734208).

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

327842112 is a wasteful number, since it uses less digits than its factorization.

327842112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 327842112 is about 18106.4107983885. The cubic root of 327842112 is about 689.5327733806.

The spelling of 327842112 in words is "three hundred twenty-seven million, eight hundred forty-two thousand, one hundred twelve".