216144920 has 32 divisors (see below), whose sum is σ = 486889920. Its totient is φ = 86357760.

The previous prime is 216144911. The next prime is 216144923. The reversal of 216144920 is 29441612.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216144923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38705 + ... + 43935.

It is an arithmetic number, because the mean of its divisors is an integer number (15215310).

Almost surely, 2^216144920 is an apocalyptic number.

216144920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216144920 is an abundant number, since it is smaller than the sum of its proper divisors (270745000).

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

216144920 is a wasteful number, since it uses less digits than its factorization.

216144920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 216144920 is about 14701.8679085346. The cubic root of 216144920 is about 600.1341551869.

The spelling of 216144920 in words is "two hundred sixteen million, one hundred forty-four thousand, nine hundred twenty".