216712590 has 48 divisors (see below), whose sum is σ = 527907024. Its totient is φ = 56936320.

The previous prime is 216712577. The next prime is 216712591. The reversal of 216712590 is 95217612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216712591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150514 + ... + 151946.

It is an arithmetic number, because the mean of its divisors is an integer number (10998063).

Almost surely, 2^216712590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216712590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263953512).

216712590 is an abundant number, since it is smaller than the sum of its proper divisors (311194434).

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

216712590 is a wasteful number, since it uses less digits than its factorization.

216712590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 216712590 is about 14721.1612992997. The cubic root of 216712590 is about 600.6590813102.

The spelling of 216712590 in words is "two hundred sixteen million, seven hundred twelve thousand, five hundred ninety".