217056000 has 576 divisors, whose sum is σ = 918328320. Its totient is φ = 44236800.

The previous prime is 217055989. The next prime is 217056001. The reversal of 217056000 is 650712.

It is a super-2 number, since 2×217056000² = 94226614272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217056001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11423991 + ... + 11424009.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 2^217056000 is an apocalyptic number.

217056000 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 217056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160).

217056000 is an abundant number, since it is smaller than the sum of its proper divisors (701272320).

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

217056000 is a wasteful number, since it uses less digits than its factorization.

217056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 217056000 is about 14732.8205038954. The cubic root of 217056000 is about 600.9761886759.

The spelling of 217056000 in words is "two hundred seventeen million, fifty-six thousand".