216905040 has 400 divisors, whose sum is σ = 875033280. Its totient is φ = 49213440.

The previous prime is 216905033. The next prime is 216905041. The reversal of 216905040 is 40509612.

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

It is a junction number, because it is equal to n+sod(n) for n = 216904995 and 216905013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216905041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1211671 + ... + 1211849.

Almost surely, 2^216905040 is an apocalyptic number.

216905040 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 216905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437516640).

216905040 is an abundant number, since it is smaller than the sum of its proper divisors (658128240).

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

216905040 is a wasteful number, since it uses less digits than its factorization.

216905040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 216905040 is about 14727.6963575435. The cubic root of 216905040 is about 600.8368323102.

The spelling of 216905040 in words is "two hundred sixteen million, nine hundred five thousand, forty".