85361920 has 108 divisors (see below), whose sum is σ = 238025844. Its totient is φ = 29245440.

The previous prime is 85361909. The next prime is 85361989. The reversal of 85361920 is 2916358.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 63234304 = 4704^2 + 7952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62040 + ... + 63400.

It is an arithmetic number, because the mean of its divisors is an integer number (2203943).

Almost surely, 2^85361920 is an apocalyptic number.

85361920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119012922).

85361920 is an abundant number, since it is smaller than the sum of its proper divisors (152663924).

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

85361920 is a wasteful number, since it uses less digits than its factorization.

85361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 85361920 is about 9239.1514761909. The cubic root of 85361920 is about 440.3061230585.

The spelling of 85361920 in words is "eighty-five million, three hundred sixty-one thousand, nine hundred twenty".