85581342 has 72 divisors (see below), whose sum is σ = 235335672. Its totient is φ = 22226400.

The previous prime is 85581323. The next prime is 85581401. The reversal of 85581342 is 24318558.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85581297 and 85581306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5292 + ... + 14112.

It is an arithmetic number, because the mean of its divisors is an integer number (3268551).

Almost surely, 2^85581342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85581342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117667836).

85581342 is an abundant number, since it is smaller than the sum of its proper divisors (149754330).

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

85581342 is a wasteful number, since it uses less digits than its factorization.

85581342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8844 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 85581342 is about 9251.0184304216. The cubic root of 85581342 is about 440.6830678263.

The spelling of 85581342 in words is "eighty-five million, five hundred eighty-one thousand, three hundred forty-two".