85530906 has 36 divisors (see below), whose sum is σ = 188552286. Its totient is φ = 28020960.

The previous prime is 85530901. The next prime is 85530911. The reversal of 85530906 is 60903558.

It is an interprime number because it is at equal distance from previous prime (85530901) and next prime (85530911).

It can be written as a sum of positive squares in 3 ways, for example, as 31640625 + 53890281 = 5625^2 + 7341^2 .

It is not an unprimeable number, because it can be changed into a prime (85530901) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 66340 + ... + 67616.

Almost surely, 2^85530906 is an apocalyptic number.

85530906 is an abundant number, since it is smaller than the sum of its proper divisors (103021380).

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

85530906 is a wasteful number, since it uses less digits than its factorization.

85530906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85530906 is about 9248.2920585371. The cubic root of 85530906 is about 440.5964809669.

It can be divided in two parts, 85530 and 906, that added together give a square (86436 = 294²).

The spelling of 85530906 in words is "eighty-five million, five hundred thirty thousand, nine hundred six".