327652416 has 504 divisors, whose sum is σ = 1264798080. Its totient is φ = 80123904.

The previous prime is 327652379. The next prime is 327652439. The reversal of 327652416 is 614256723.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×327652416² = 214712211421274112, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6971305 + ... + 6971351.

It is an arithmetic number, because the mean of its divisors is an integer number (2509520).

Almost surely, 2^327652416 is an apocalyptic number.

327652416 is a gapful number since it is divisible by the number (36) 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 327652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

327652416 is an abundant number, since it is smaller than the sum of its proper divisors (937145664).

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

327652416 is a wasteful number, since it uses less digits than its factorization.

327652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 327652416 is about 18101.1716747839. The cubic root of 327652416 is about 689.3997552392.

It can be divided in two parts, 3276 and 52416, that multiplied together give a square (171714816 = 13104²).

The spelling of 327652416 in words is "three hundred twenty-seven million, six hundred fifty-two thousand, four hundred sixteen".