85587840 has 320 divisors, whose sum is σ = 331752960. Its totient is φ = 20901888.

The previous prime is 85587839. The next prime is 85587847. The reversal of 85587840 is 4878558.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85587847) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 673857 + ... + 673983.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 2^85587840 is an apocalyptic number.

85587840 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 85587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165876480).

85587840 is an abundant number, since it is smaller than the sum of its proper divisors (246165120).

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

85587840 is a wasteful number, since it uses less digits than its factorization.

85587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 85587840 is about 9251.3696283307. The cubic root of 85587840 is about 440.6942209041.

The spelling of 85587840 in words is "eighty-five million, five hundred eighty-seven thousand, eight hundred forty".