85287840 has 192 divisors, whose sum is σ = 303730560. Its totient is φ = 19927040.

The previous prime is 85287817. The next prime is 85287857. The reversal of 85287840 is 4878258.

It is a junction number, because it is equal to n+sod(n) for n = 85287792 and 85287801.

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, 152842 + ... + 153398.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^85287840 is an apocalyptic number.

85287840 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 85287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

85287840 is an abundant number, since it is smaller than the sum of its proper divisors (218442720).

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

85287840 is a wasteful number, since it uses less digits than its factorization.

85287840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 85287840 is about 9235.1415798568. The cubic root of 85287840 is about 440.1787152800.

The spelling of 85287840 in words is "eighty-five million, two hundred eighty-seven thousand, eight hundred forty".