217068480 has 336 divisors, whose sum is σ = 813084480. Its totient is φ = 52985856.

The previous prime is 217068431. The next prime is 217068497. The reversal of 217068480 is 84860712.

217068480 is a `hidden beast` number, since 2 + 170 + 6 + 8 + 480 = 666.

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

It is a zygodrome in base 2.

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, 1920904 + ... + 1921016.

Almost surely, 2^217068480 is an apocalyptic number.

217068480 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 217068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406542240).

217068480 is an abundant number, since it is smaller than the sum of its proper divisors (596016000).

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

217068480 is a wasteful number, since it uses less digits than its factorization.

217068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 217068480 is about 14733.2440419617. The cubic root of 217068480 is about 600.9877065009.

The spelling of 217068480 in words is "two hundred seventeen million, sixty-eight thousand, four hundred eighty".