85269042 has 48 divisors (see below), whose sum is σ = 198974880. Its totient is φ = 26292096.

The previous prime is 85269029. The next prime is 85269097. The reversal of 85269042 is 24096258.

It is a happy number.

85269042 is a `hidden beast` number, since 8 + 526 + 90 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85268988 and 85269006.

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 23 ways as a sum of consecutive naturals, for example, 15693 + ... + 20415.

It is an arithmetic number, because the mean of its divisors is an integer number (4145310).

Almost surely, 2^85269042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85269042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99487440).

85269042 is an abundant number, since it is smaller than the sum of its proper divisors (113705838).

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

85269042 is a wasteful number, since it uses less digits than its factorization.

85269042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85269042 is about 9234.1237808468. The cubic root of 85269042 is about 440.1463734773.

The spelling of 85269042 in words is "eighty-five million, two hundred sixty-nine thousand, forty-two".