216986880 has 216 divisors, whose sum is σ = 763360416. Its totient is φ = 52490240.

The previous prime is 216986867. The next prime is 216986881. The reversal of 216986880 is 88689612.

216986880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216986881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464407 + ... + 464873.

It is an arithmetic number, because the mean of its divisors is an integer number (3534076).

Almost surely, 2^216986880 is an apocalyptic number.

216986880 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 216986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381680208).

216986880 is an abundant number, since it is smaller than the sum of its proper divisors (546373536).

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

216986880 is a wasteful number, since it uses less digits than its factorization.

216986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 216986880 is about 14730.4745341079. The cubic root of 216986880 is about 600.9123896497.

The spelling of 216986880 in words is "two hundred sixteen million, nine hundred eighty-six thousand, eight hundred eighty".