216109296 has 200 divisors, whose sum is σ = 685622784. Its totient is φ = 65318400.

The previous prime is 216109261. The next prime is 216109301. The reversal of 216109296 is 692901612.

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

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 216109296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1701585 + ... + 1701711.

Almost surely, 2^216109296 is an apocalyptic number.

216109296 is a gapful number since it is divisible by the number (26) 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 216109296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342811392).

216109296 is an abundant number, since it is smaller than the sum of its proper divisors (469513488).

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

216109296 is a wasteful number, since it uses less digits than its factorization.

216109296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 216109296 is about 14700.6563118794. The cubic root of 216109296 is about 600.1011829357.

The spelling of 216109296 in words is "two hundred sixteen million, one hundred nine thousand, two hundred ninety-six".