216193680 has 120 divisors (see below), whose sum is σ = 743041728. Its totient is φ = 56302848.

The previous prime is 216193619. The next prime is 216193693. The reversal of 216193680 is 86391612.

216193680 is a `hidden beast` number, since 2 + 1 + 619 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27469 + ... + 34451.

Almost surely, 2^216193680 is an apocalyptic number.

216193680 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 216193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371520864).

216193680 is an abundant number, since it is smaller than the sum of its proper divisors (526848048).

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

216193680 is a wasteful number, since it uses less digits than its factorization.

216193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 216193680 is about 14703.5261077063. The cubic root of 216193680 is about 600.1792797593.

The spelling of 216193680 in words is "two hundred sixteen million, one hundred ninety-three thousand, six hundred eighty".