216076320 has 72 divisors (see below), whose sum is σ = 737365356. Its totient is φ = 57619968.

The previous prime is 216076313. The next prime is 216076331. The reversal of 216076320 is 23670612.

It is a happy number.

216076320 is a `hidden beast` number, since 21 + 6 + 0 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209786256 + 6290064 = 14484^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73587 + ... + 76466.

Almost surely, 2^216076320 is an apocalyptic number.

216076320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216076320 is an abundant number, since it is smaller than the sum of its proper divisors (521289036).

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

216076320 is a wasteful number, since it uses less digits than its factorization.

216076320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150074 (or 150063 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 216076320 is about 14699.5346865130. The cubic root of 216076320 is about 600.0706583453.

The spelling of 216076320 in words is "two hundred sixteen million, seventy-six thousand, three hundred twenty".