85605920 has 24 divisors (see below), whose sum is σ = 202244364. Its totient is φ = 34242304.

The previous prime is 85605913. The next prime is 85605937. The reversal of 85605920 is 2950658.

It can be written as a sum of positive squares in 2 ways, for example, as 78783376 + 6822544 = 8876^2 + 2612^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267359 + ... + 267678.

Almost surely, 2^85605920 is an apocalyptic number.

85605920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85605920 is an abundant number, since it is smaller than the sum of its proper divisors (116638444).

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

85605920 is a wasteful number, since it uses less digits than its factorization.

85605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535052 (or 535044 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 85605920 is about 9252.3467293439. The cubic root of 85605920 is about 440.7252501973.

The spelling of 85605920 in words is "eighty-five million, six hundred five thousand, nine hundred twenty".