85541580 has 144 divisors (see below), whose sum is σ = 271331424. Its totient is φ = 21795840.

The previous prime is 85541579. The next prime is 85541593. The reversal of 85541580 is 8514558.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494374 + ... + 494546.

It is an arithmetic number, because the mean of its divisors is an integer number (1884246).

Almost surely, 2^85541580 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 85541580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135665712).

85541580 is an abundant number, since it is smaller than the sum of its proper divisors (185789844).

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

85541580 is a wasteful number, since it uses less digits than its factorization.

85541580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 85541580 is about 9248.8691200600. The cubic root of 85541580 is about 440.6148085767.

The spelling of 85541580 in words is "eighty-five million, five hundred forty-one thousand, five hundred eighty".