85245840 has 120 divisors (see below), whose sum is σ = 288215928. Its totient is φ = 22579200.

The previous prime is 85245833. The next prime is 85245851. The reversal of 85245840 is 4854258.

It can be written as a sum of positive squares in 4 ways, for example, as 46457856 + 38787984 = 6816^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85245795 and 85245804.

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, 141540 + ... + 142140.

Almost surely, 2^85245840 is an apocalyptic number.

85245840 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 85245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144107964).

85245840 is an abundant number, since it is smaller than the sum of its proper divisors (202970088).

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

85245840 is a wasteful number, since it uses less digits than its factorization.

85245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 85245840 is about 9232.8673769312. The cubic root of 85245840 is about 440.1064480744.

The spelling of 85245840 in words is "eighty-five million, two hundred forty-five thousand, eight hundred forty".