85801820 has 48 divisors (see below), whose sum is σ = 194825568. Its totient is φ = 31553280.

The previous prime is 85801819. The next prime is 85801829. The reversal of 85801820 is 2810858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85801829) 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, 85562 + ... + 86558.

It is an arithmetic number, because the mean of its divisors is an integer number (4058866).

Almost surely, 2^85801820 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 85801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97412784).

85801820 is an abundant number, since it is smaller than the sum of its proper divisors (109023748).

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

85801820 is a wasteful number, since it uses less digits than its factorization.

85801820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 85801820 is about 9262.9271831317. The cubic root of 85801820 is about 441.0611782952.

The spelling of 85801820 in words is "eighty-five million, eight hundred one thousand, eight hundred twenty".