327465216 has 243 divisors, whose sum is σ = 1058847699. Its totient is φ = 97284096.

The previous prime is 327465211. The next prime is 327465221. The reversal of 327465216 is 612564723.

The square root of 327465216 is 18096.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (327465211) and next prime (327465221).

It can be written as a sum of positive squares in 4 ways, for example, as 41990400 + 285474816 = 6480^2 + 16896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (327465211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11291890 + ... + 11291918.

Almost surely, 2^327465216 is an apocalyptic number.

327465216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

327465216 is the 18096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327465216

327465216 is an abundant number, since it is smaller than the sum of its proper divisors (731382483).

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

327465216 is a wasteful number, since it uses less digits than its factorization.

327465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

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

The cubic root of 327465216 is about 689.2684369949.

Multiplying 327465216 by its sum of digits (36), we get a square (11788747776 = 108576²).

327465216 divided by its sum of digits (36) gives a square (9096256 = 3016²).

The spelling of 327465216 in words is "three hundred twenty-seven million, four hundred sixty-five thousand, two hundred sixteen".