216413664 has 24 divisors (see below), whose sum is σ = 568086120. Its totient is φ = 72137856.

The previous prime is 216413581. The next prime is 216413671. The reversal of 216413664 is 466314612.

216413664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1127059 + ... + 1127250.

It is an arithmetic number, because the mean of its divisors is an integer number (23670255).

Almost surely, 2^216413664 is an apocalyptic number.

216413664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216413664 is an abundant number, since it is smaller than the sum of its proper divisors (351672456).

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

216413664 is a wasteful number, since it uses less digits than its factorization.

216413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254322 (or 2254314 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 216413664 is about 14711.0048603078. The cubic root of 216413664 is about 600.3827779720.

The spelling of 216413664 in words is "two hundred sixteen million, four hundred thirteen thousand, six hundred sixty-four".