85506042 has 32 divisors (see below), whose sum is σ = 187845120. Its totient is φ = 25827120.

The previous prime is 85506017. The next prime is 85506049. The reversal of 85506042 is 24060558.

It is a super-2 number, since 2×85506042² = 14622566437011528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85506049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13684 + ... + 18927.

It is an arithmetic number, because the mean of its divisors is an integer number (5870160).

Almost surely, 2^85506042 is an apocalyptic number.

85506042 is an abundant number, since it is smaller than the sum of its proper divisors (102339078).

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

85506042 is a wasteful number, since it uses less digits than its factorization.

85506042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32658.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 85506042 is about 9246.9477126239. The cubic root of 85506042 is about 440.5537827458.

The spelling of 85506042 in words is "eighty-five million, five hundred six thousand, forty-two".