85541820 has 96 divisors (see below), whose sum is σ = 294809088. Its totient is φ = 18047232.

The previous prime is 85541801. The next prime is 85541837. The reversal of 85541820 is 2814558.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2374 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (3070928).

Almost surely, 2^85541820 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 85541820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147404544).

85541820 is an abundant number, since it is smaller than the sum of its proper divisors (209267268).

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

85541820 is a wasteful number, since it uses less digits than its factorization.

85541820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 85541820 is about 9248.8820946101. The cubic root of 85541820 is about 440.6152206471.

The spelling of 85541820 in words is "eighty-five million, five hundred forty-one thousand, eight hundred twenty".