216689040 has 160 divisors (see below), whose sum is σ = 764058240. Its totient is φ = 56415744.

The previous prime is 216689023. The next prime is 216689041. The reversal of 216689040 is 40986612.

It is a super-2 number, since 2×216689040² = 93908280112243200, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 216688986 and 216689004.

It is not an unprimeable number, because it can be changed into a prime (216689041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91714 + ... + 94046.

It is an arithmetic number, because the mean of its divisors is an integer number (4775364).

Almost surely, 2^216689040 is an apocalyptic number.

216689040 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 216689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382029120).

216689040 is an abundant number, since it is smaller than the sum of its proper divisors (547369200).

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

216689040 is a wasteful number, since it uses less digits than its factorization.

216689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216689040 is about 14720.3614086068. The cubic root of 216689040 is about 600.6373227931.

The spelling of 216689040 in words is "two hundred sixteen million, six hundred eighty-nine thousand, forty".