216709416 has 96 divisors (see below), whose sum is σ = 731764800. Its totient is φ = 56286720.

The previous prime is 216709411. The next prime is 216709417. The reversal of 216709416 is 614907612.

216709416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×216709416² = 93925941966122112, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216709411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14001 + ... + 25088.

It is an arithmetic number, because the mean of its divisors is an integer number (7622550).

Almost surely, 2^216709416 is an apocalyptic number.

It is an amenable number.

216709416 is an abundant number, since it is smaller than the sum of its proper divisors (515055384).

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

216709416 is a wasteful number, since it uses less digits than its factorization.

216709416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39119 (or 39112 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 216709416 is about 14721.0534949099. The cubic root of 216709416 is about 600.6561488529.

The spelling of 216709416 in words is "two hundred sixteen million, seven hundred nine thousand, four hundred sixteen".