216934368 has 144 divisors (see below), whose sum is σ = 670166784. Its totient is φ = 61259520.

The previous prime is 216934363. The next prime is 216934379. The reversal of 216934368 is 863439612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216934363) 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, 503113 + ... + 503543.

It is an arithmetic number, because the mean of its divisors is an integer number (4653936).

Almost surely, 2^216934368 is an apocalyptic number.

216934368 is a gapful number since it is divisible by the number (28) 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 216934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335083392).

216934368 is an abundant number, since it is smaller than the sum of its proper divisors (453232416).

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

216934368 is a wasteful number, since it uses less digits than its factorization.

216934368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 216934368 is about 14728.6919989522. The cubic root of 216934368 is about 600.8639110547.

The spelling of 216934368 in words is "two hundred sixteen million, nine hundred thirty-four thousand, three hundred sixty-eight".