216516240 has 100 divisors (see below), whose sum is σ = 752015484. Its totient is φ = 57735936.

The previous prime is 216516239. The next prime is 216516259. The reversal of 216516240 is 42615612.

216516240 is a `hidden beast` number, since 2 + 1 + 651 + 6 + 2 + 4 + 0 = 666.

216516240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156050064 + 60466176 = 12492^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10227 + ... + 23186.

Almost surely, 2^216516240 is an apocalyptic number.

216516240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216516240 is an abundant number, since it is smaller than the sum of its proper divisors (535499244).

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

216516240 is a wasteful number, since it uses less digits than its factorization.

216516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33438 (or 33423 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216516240 is about 14714.4908168784. The cubic root of 216516240 is about 600.4776196982.

The spelling of 216516240 in words is "two hundred sixteen million, five hundred sixteen thousand, two hundred forty".