85982220 has 144 divisors (see below), whose sum is σ = 283745280. Its totient is φ = 20995200.

The previous prime is 85982213. The next prime is 85982227. The reversal of 85982220 is 2228958.

It is an interprime number because it is at equal distance from previous prime (85982213) and next prime (85982227).

It is a super-2 number, since 2×85982220² = 14785884312256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85982227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105615 + ... + 106425.

Almost surely, 2^85982220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85982220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141872640).

85982220 is an abundant number, since it is smaller than the sum of its proper divisors (197763060).

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

85982220 is a wasteful number, since it uses less digits than its factorization.

85982220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85982220 is about 9272.6598125888. The cubic root of 85982220 is about 441.3700751522.

The spelling of 85982220 in words is "eighty-five million, nine hundred eighty-two thousand, two hundred twenty".