217082880 has 264 divisors, whose sum is σ = 860919072. Its totient is φ = 49545216.

The previous prime is 217082869. The next prime is 217082891. The reversal of 217082880 is 88280712.

It is an interprime number because it is at equal distance from previous prime (217082869) and next prime (217082891).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322224 + ... + 322896.

Almost surely, 2^217082880 is an apocalyptic number.

217082880 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 217082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430459536).

217082880 is an abundant number, since it is smaller than the sum of its proper divisors (643836192).

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

217082880 is a wasteful number, since it uses less digits than its factorization.

217082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 217082880 is about 14733.7327246017. The cubic root of 217082880 is about 601.0009957505. Note that the first 3 decimals are identical.

The spelling of 217082880 in words is "two hundred seventeen million, eighty-two thousand, eight hundred eighty".