85361220 has 144 divisors (see below), whose sum is σ = 304082688. Its totient is φ = 18973440.

The previous prime is 85361219. The next prime is 85361291. The reversal of 85361220 is 2216358.

85361220 is a `hidden beast` number, since 8 + 536 + 122 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45705 + ... + 47535.

Almost surely, 2^85361220 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 85361220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152041344).

85361220 is an abundant number, since it is smaller than the sum of its proper divisors (218721468).

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

85361220 is a wasteful number, since it uses less digits than its factorization.

85361220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85361220 is about 9239.1135938465. The cubic root of 85361220 is about 440.3049194963.

Adding to 85361220 its reverse (2216358), we get a palindrome (87577578).

The spelling of 85361220 in words is "eighty-five million, three hundred sixty-one thousand, two hundred twenty".