85202820 has 96 divisors (see below), whose sum is σ = 268410240. Its totient is φ = 22435200.

The previous prime is 85202813. The next prime is 85202837. The reversal of 85202820 is 2820258.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43870 + ... + 45770.

It is an arithmetic number, because the mean of its divisors is an integer number (2795940).

Almost surely, 2^85202820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85202820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134205120).

85202820 is an abundant number, since it is smaller than the sum of its proper divisors (183207420).

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

85202820 is a wasteful number, since it uses less digits than its factorization.

85202820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85202820 is about 9230.5373624725. The cubic root of 85202820 is about 440.0324011952.

The spelling of 85202820 in words is "eighty-five million, two hundred two thousand, eight hundred twenty".