218085792 has 48 divisors (see below), whose sum is σ = 606154752. Its totient is φ = 68418560.

The previous prime is 218085767. The next prime is 218085817. The reversal of 218085792 is 297580812.

It is an interprime number because it is at equal distance from previous prime (218085767) and next prime (218085817).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×218085792² = 95122825344534528, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65184 + ... + 68447.

It is an arithmetic number, because the mean of its divisors is an integer number (12628224).

Almost surely, 2^218085792 is an apocalyptic number.

It is an amenable number.

218085792 is an abundant number, since it is smaller than the sum of its proper divisors (388068960).

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

218085792 is a wasteful number, since it uses less digits than its factorization.

218085792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133661 (or 133653 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 218085792 is about 14767.7280581679. The cubic root of 218085792 is about 601.9251055638.

The spelling of 218085792 in words is "two hundred eighteen million, eighty-five thousand, seven hundred ninety-two".