85202442 has 80 divisors (see below), whose sum is σ = 214663680. Its totient is φ = 25062048.

The previous prime is 85202371. The next prime is 85202443. The reversal of 85202442 is 24420258.

It is a happy number.

It is a super-2 number, since 2×85202442² = 14518912245526728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85202443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47559 + ... + 49317.

It is an arithmetic number, because the mean of its divisors is an integer number (2683296).

Almost surely, 2^85202442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85202442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107331840).

85202442 is an abundant number, since it is smaller than the sum of its proper divisors (129461238).

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

85202442 is a wasteful number, since it uses less digits than its factorization.

85202442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 85202442 is about 9230.5168869354. The cubic root of 85202442 is about 440.0317504636.

The spelling of 85202442 in words is "eighty-five million, two hundred two thousand, four hundred forty-two".