216423680 has 144 divisors (see below), whose sum is σ = 596030400. Its totient is φ = 74465280.

The previous prime is 216423677. The next prime is 216423733. The reversal of 216423680 is 86324612.

It is a super-3 number, since 3×216423680³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267116 + ... + 267924.

It is an arithmetic number, because the mean of its divisors is an integer number (4139100).

Almost surely, 2^216423680 is an apocalyptic number.

216423680 is a gapful number since it is divisible by the number (20) 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 216423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298015200).

216423680 is an abundant number, since it is smaller than the sum of its proper divisors (379606720).

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

216423680 is a wasteful number, since it uses less digits than its factorization.

216423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 216423680 is about 14711.3452817885. The cubic root of 216423680 is about 600.3920400815.

The spelling of 216423680 in words is "two hundred sixteen million, four hundred twenty-three thousand, six hundred eighty".