217382040 has 192 divisors, whose sum is σ = 757317600. Its totient is φ = 53913600.

The previous prime is 217382029. The next prime is 217382089. The reversal of 217382040 is 40283712.

It is a junction number, because it is equal to n+sod(n) for n = 217381995 and 217382013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416980 + ... + 417500.

Almost surely, 2^217382040 is an apocalyptic number.

217382040 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 217382040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378658800).

217382040 is an abundant number, since it is smaller than the sum of its proper divisors (539935560).

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

217382040 is a wasteful number, since it uses less digits than its factorization.

217382040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 217382040 is about 14743.8814428223. The cubic root of 217382040 is about 601.2769470823.

The spelling of 217382040 in words is "two hundred seventeen million, three hundred eighty-two thousand, forty".