216376720 has 80 divisors (see below), whose sum is σ = 587248128. Its totient is φ = 72599040.

The previous prime is 216376717. The next prime is 216376729. The reversal of 216376720 is 27673612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (216376729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22210 + ... + 30430.

Almost surely, 2^216376720 is an apocalyptic number.

216376720 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 216376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293624064).

216376720 is an abundant number, since it is smaller than the sum of its proper divisors (370871408).

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

216376720 is a wasteful number, since it uses less digits than its factorization.

216376720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 216376720 is about 14709.7491480990. The cubic root of 216376720 is about 600.3486122248.

The spelling of 216376720 in words is "two hundred sixteen million, three hundred seventy-six thousand, seven hundred twenty".