216961000 has 96 divisors (see below), whose sum is σ = 536707080. Its totient is φ = 82080000.

The previous prime is 216960949. The next prime is 216961039. The reversal of 216961000 is 169612.

216961000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 102941316 + 114019684 = 10146^2 + 10678^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360700 + ... + 361300.

Almost surely, 2^216961000 is an apocalyptic number.

216961000 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 216961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268353540).

216961000 is an abundant number, since it is smaller than the sum of its proper divisors (319746080).

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

216961000 is a wasteful number, since it uses less digits than its factorization.

216961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 216961000 is about 14729.5960569189. The cubic root of 216961000 is about 600.8884984495. Note that the first 3 decimals are identical.

The spelling of 216961000 in words is "two hundred sixteen million, nine hundred sixty-one thousand".