216512000 has 160 divisors (see below), whose sum is σ = 574516800. Its totient is φ = 81100800.

The previous prime is 216511979. The next prime is 216512059. The reversal of 216512000 is 215612.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×216512000² = 93754892288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 216512000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087901 + ... + 1088099.

It is an arithmetic number, because the mean of its divisors is an integer number (3590730).

Almost surely, 2^216512000 is an apocalyptic number.

216512000 is a gapful number since it is divisible by the number (20) 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 216512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287258400).

216512000 is an abundant number, since it is smaller than the sum of its proper divisors (358004800).

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

216512000 is an equidigital number, since it uses as much as digits as its factorization.

216512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 216512000 is about 14714.3467405115. The cubic root of 216512000 is about 600.4736999895.

Adding to 216512000 its reverse (215612), we get a palindrome (216727612).

It can be divided in two parts, 216 and 512000, that multiplied together give a cube (110592000 = 480³).

The spelling of 216512000 in words is "two hundred sixteen million, five hundred twelve thousand".