85571040 has 144 divisors (see below), whose sum is σ = 282613968. Its totient is φ = 21762048.

The previous prime is 85571029. The next prime is 85571069. The reversal of 85571040 is 4017558.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 85570989 and 85571007.

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 23 ways as a sum of consecutive naturals, for example, 253752 + ... + 254088.

It is an arithmetic number, because the mean of its divisors is an integer number (1962597).

Almost surely, 2^85571040 is an apocalyptic number.

85571040 is a gapful number since it is divisible by the number (80) 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 85571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141306984).

85571040 is an abundant number, since it is smaller than the sum of its proper divisors (197042928).

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

85571040 is a wasteful number, since it uses less digits than its factorization.

85571040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 85571040 is about 9250.4616101036. The cubic root of 85571040 is about 440.6653844581.

Adding to 85571040 its reverse (4017558), we get a palindrome (89588598).

The spelling of 85571040 in words is "eighty-five million, five hundred seventy-one thousand, forty".