216895920 has 80 divisors (see below), whose sum is σ = 676227552. Its totient is φ = 57507840.

The previous prime is 216895919. The next prime is 216895927. The reversal of 216895920 is 29598612.

216895920 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 (80).

It is a super-2 number, since 2×216895920² = 94087680225292800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216895927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40944 + ... + 45936.

Almost surely, 2^216895920 is an apocalyptic number.

216895920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216895920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338113776).

216895920 is an abundant number, since it is smaller than the sum of its proper divisors (459331632).

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

216895920 is a wasteful number, since it uses less digits than its factorization.

216895920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 216895920 is about 14727.3867335655. The cubic root of 216895920 is about 600.8284112538.

The spelling of 216895920 in words is "two hundred sixteen million, eight hundred ninety-five thousand, nine hundred twenty".