216569040 has 80 divisors (see below), whose sum is σ = 678974400. Its totient is φ = 57097216.

The previous prime is 216569009. The next prime is 216569051. The reversal of 216569040 is 40965612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 216568992 and 216569010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16291 + ... + 26429.

It is an arithmetic number, because the mean of its divisors is an integer number (8487180).

Almost surely, 2^216569040 is an apocalyptic number.

216569040 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 216569040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339487200).

216569040 is an abundant number, since it is smaller than the sum of its proper divisors (462405360).

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

216569040 is a wasteful number, since it uses less digits than its factorization.

216569040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 216569040 is about 14716.2848572593. The cubic root of 216569040 is about 600.5264268784.

The spelling of 216569040 in words is "two hundred sixteen million, five hundred sixty-nine thousand, forty".