217013880 has 96 divisors (see below), whose sum is σ = 669619440. Its totient is φ = 56263680.

The previous prime is 217013837. The next prime is 217013887. The reversal of 217013880 is 88310712.

It is a happy number.

It is a super-2 number, since 2×217013880² = 94190048225308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217013887) 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, 163620 + ... + 164940.

Almost surely, 2^217013880 is an apocalyptic number.

217013880 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 217013880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334809720).

217013880 is an abundant number, since it is smaller than the sum of its proper divisors (452605560).

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

217013880 is a wasteful number, since it uses less digits than its factorization.

217013880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 217013880 is about 14731.3909730208. The cubic root of 217013880 is about 600.9373127566.

The spelling of 217013880 in words is "two hundred seventeen million, thirteen thousand, eight hundred eighty".