217077120 has 288 divisors, whose sum is σ = 815330880. Its totient is φ = 53194752.

The previous prime is 217077103. The next prime is 217077127. The reversal of 217077120 is 21770712.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217077127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 973329 + ... + 973551.

It is an arithmetic number, because the mean of its divisors is an integer number (2831010).

Almost surely, 2^217077120 is an apocalyptic number.

217077120 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 217077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407665440).

217077120 is an abundant number, since it is smaller than the sum of its proper divisors (598253760).

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

217077120 is a wasteful number, since it uses less digits than its factorization.

217077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 217077120 is about 14733.5372534908. The cubic root of 217077120 is about 600.9956801212.

The spelling of 217077120 in words is "two hundred seventeen million, seventy-seven thousand, one hundred twenty".