216873384 has 128 divisors (see below), whose sum is σ = 672000000. Its totient is φ = 56795904.

The previous prime is 216873383. The next prime is 216873389. The reversal of 216873384 is 483378612.

It is a super-2 number, since 2×216873384² = 94068129375222912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (216873383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434367 + ... + 434865.

It is an arithmetic number, because the mean of its divisors is an integer number (5250000).

Almost surely, 2^216873384 is an apocalyptic number.

216873384 is a gapful number since it is divisible by the number (24) 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 216873384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336000000).

216873384 is an abundant number, since it is smaller than the sum of its proper divisors (455126616).

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

216873384 is a wasteful number, since it uses less digits than its factorization.

216873384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 216873384 is about 14726.6216085021. The cubic root of 216873384 is about 600.8076013679.

The spelling of 216873384 in words is "two hundred sixteen million, eight hundred seventy-three thousand, three hundred eighty-four".