85441560 has 64 divisors (see below), whose sum is σ = 258634080. Its totient is φ = 22579200.

The previous prime is 85441553. The next prime is 85441571. The reversal of 85441560 is 6514458.

It is a super-3 number, since 3×85441560³ (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10410 + ... + 16710.

Almost surely, 2^85441560 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 85441560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129317040).

85441560 is an abundant number, since it is smaller than the sum of its proper divisors (173192520).

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

85441560 is a wasteful number, since it uses less digits than its factorization.

85441560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6428 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85441560 is about 9243.4603910008. The cubic root of 85441560 is about 440.4430111078.

The spelling of 85441560 in words is "eighty-five million, four hundred forty-one thousand, five hundred sixty".