216576720 has 80 divisors (see below), whose sum is σ = 745993920. Its totient is φ = 57753216.

The previous prime is 216576707. The next prime is 216576743. The reversal of 216576720 is 27675612.

216576720 is a `hidden beast` number, since 2 + 16 + 576 + 72 + 0 = 666.

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

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47974 + ... + 52293.

It is an arithmetic number, because the mean of its divisors is an integer number (9324924).

Almost surely, 2^216576720 is an apocalyptic number.

216576720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216576720 is an abundant number, since it is smaller than the sum of its proper divisors (529417200).

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

216576720 is a wasteful number, since it uses less digits than its factorization.

216576720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100289 (or 100277 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 216576720 is about 14716.5457903681. The cubic root of 216576720 is about 600.5335254437.

The spelling of 216576720 in words is "two hundred sixteen million, five hundred seventy-six thousand, seven hundred twenty".