85332906 has 48 divisors (see below), whose sum is σ = 196497600. Its totient is φ = 27448848.

The previous prime is 85332901. The next prime is 85333019. The reversal of 85332906 is 60923358.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85332901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44475 + ... + 46353.

It is an arithmetic number, because the mean of its divisors is an integer number (4093700).

Almost surely, 2^85332906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85332906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98248800).

85332906 is an abundant number, since it is smaller than the sum of its proper divisors (111164694).

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

85332906 is a wasteful number, since it uses less digits than its factorization.

85332906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 85332906 is about 9237.5811769099. The cubic root of 85332906 is about 440.2562316099.

The spelling of 85332906 in words is "eighty-five million, three hundred thirty-two thousand, nine hundred six".