218082690 has 96 divisors (see below), whose sum is σ = 663901056. Its totient is φ = 48625920.

The previous prime is 218082673. The next prime is 218082691. The reversal of 218082690 is 96280812.

It is a super-2 number, since 2×218082690² = 95120119355272200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218082691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21609 + ... + 30051.

It is an arithmetic number, because the mean of its divisors is an integer number (6915636).

Almost surely, 2^218082690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218082690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331950528).

218082690 is an abundant number, since it is smaller than the sum of its proper divisors (445818366).

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

218082690 is a wasteful number, since it uses less digits than its factorization.

218082690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8504 (or 8501 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 218082690 is about 14767.6230314834. The cubic root of 218082690 is about 601.9222516708.

It can be divided in two parts, 2180826 and 90, that added together give a triangular number (2180916 = T₂₀₈₈).

The spelling of 218082690 in words is "two hundred eighteen million, eighty-two thousand, six hundred ninety".