216590304 has 192 divisors, whose sum is σ = 691310592. Its totient is φ = 58060800.

The previous prime is 216590293. The next prime is 216590327. The reversal of 216590304 is 403095612.

It is a super-2 number, since 2×216590304² = 93822719573624832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770644 + ... + 770924.

It is an arithmetic number, because the mean of its divisors is an integer number (3600576).

Almost surely, 2^216590304 is an apocalyptic number.

216590304 is a gapful number since it is divisible by the number (24) 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 216590304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345655296).

216590304 is an abundant number, since it is smaller than the sum of its proper divisors (474720288).

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

216590304 is a wasteful number, since it uses less digits than its factorization.

216590304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 216590304 is about 14717.0073044760. The cubic root of 216590304 is about 600.5460806203.

The spelling of 216590304 in words is "two hundred sixteen million, five hundred ninety thousand, three hundred four".