85181580 has 108 divisors (see below), whose sum is σ = 284081616. Its totient is φ = 20644800.

The previous prime is 85181557. The next prime is 85181587. The reversal of 85181580 is 8518158.

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

It is not an unprimeable number, because it can be changed into a prime (85181587) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 19825 + ... + 23735.

Almost surely, 2^85181580 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 85181580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142040808).

85181580 is an abundant number, since it is smaller than the sum of its proper divisors (198900036).

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

85181580 is a wasteful number, since it uses less digits than its factorization.

85181580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 85181580 is about 9229.3867618602. The cubic root of 85181580 is about 439.9958332939.

The spelling of 85181580 in words is "eighty-five million, one hundred eighty-one thousand, five hundred eighty".