216953208 has 64 divisors (see below), whose sum is σ = 604260000. Its totient is φ = 72124416.

The previous prime is 216953203. The next prime is 216953239. The reversal of 216953208 is 802359612.

It is a super-2 number, since 2×216953208² = 94137388922982528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216953203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95866 + ... + 98102.

Almost surely, 2^216953208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216953208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302130000).

216953208 is an abundant number, since it is smaller than the sum of its proper divisors (387306792).

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

216953208 is a wasteful number, since it uses less digits than its factorization.

216953208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 216953208 is about 14729.3315530611. The cubic root of 216953208 is about 600.8813048691.

The spelling of 216953208 in words is "two hundred sixteen million, nine hundred fifty-three thousand, two hundred eight".