216678672 has 160 divisors (see below), whose sum is σ = 720588800. Its totient is φ = 61057152.

The previous prime is 216678647. The next prime is 216678689. The reversal of 216678672 is 276876612.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238443 + ... + 239349.

It is an arithmetic number, because the mean of its divisors is an integer number (4503680).

Almost surely, 2^216678672 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 216678672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360294400).

216678672 is an abundant number, since it is smaller than the sum of its proper divisors (503910128).

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

216678672 is a wasteful number, since it uses less digits than its factorization.

216678672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 216678672 is about 14720.0092391275. The cubic root of 216678672 is about 600.6277430022.

The spelling of 216678672 in words is "two hundred sixteen million, six hundred seventy-eight thousand, six hundred seventy-two".