217495080 has 144 divisors (see below), whose sum is σ = 777116340. Its totient is φ = 52715520.

The previous prime is 217495079. The next prime is 217495111. The reversal of 217495080 is 80594712.

It can be written as a sum of positive squares in 2 ways, for example, as 212751396 + 4743684 = 14586^2 + 2178^2 .

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 35 ways as a sum of consecutive naturals, for example, 41064 + ... + 46056.

Almost surely, 2^217495080 is an apocalyptic number.

217495080 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 217495080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388558170).

217495080 is an abundant number, since it is smaller than the sum of its proper divisors (559621260).

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

217495080 is a wasteful number, since it uses less digits than its factorization.

217495080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 217495080 is about 14747.7143991874. The cubic root of 217495080 is about 601.3811515943.

The spelling of 217495080 in words is "two hundred seventeen million, four hundred ninety-five thousand, eighty".