85541484 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 22367232.

The previous prime is 85541479. The next prime is 85541507. The reversal of 85541484 is 48414558.

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 31 ways as a sum of consecutive naturals, for example, 52027 + ... + 53645.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^85541484 is an apocalyptic number.

85541484 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85541484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

85541484 is an abundant number, since it is smaller than the sum of its proper divisors (162668436).

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

85541484 is a wasteful number, since it uses less digits than its factorization.

85541484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The square root of 85541484 is about 9248.8639302349. The cubic root of 85541484 is about 440.6146437483.

The spelling of 85541484 in words is "eighty-five million, five hundred forty-one thousand, four hundred eighty-four".