85642220 has 48 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 32820480.

The previous prime is 85642211. The next prime is 85642229. The reversal of 85642220 is 2224658.

It is an interprime number because it is at equal distance from previous prime (85642211) and next prime (85642229).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (85642229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85925 + ... + 86915.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^85642220 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 85642220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

85642220 is an abundant number, since it is smaller than the sum of its proper divisors (101845780).

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

85642220 is a wasteful number, since it uses less digits than its factorization.

85642220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 85642220 is about 9254.3081859208. The cubic root of 85642220 is about 440.7875358656.

Adding to 85642220 its reverse (2224658), we get a palindrome (87866878).

The spelling of 85642220 in words is "eighty-five million, six hundred forty-two thousand, two hundred twenty".