85986440 has 16 divisors (see below), whose sum is σ = 193469580. Its totient is φ = 34394560.

The previous prime is 85986401. The next prime is 85986449. The reversal of 85986440 is 4468958.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83210884 + 2775556 = 9122^2 + 1666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85986391 and 85986400.

It is not an unprimeable number, because it can be changed into a prime (85986449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1074791 + ... + 1074870.

Almost surely, 2^85986440 is an apocalyptic number.

It is an amenable number.

85986440 is an abundant number, since it is smaller than the sum of its proper divisors (107483140).

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

85986440 is a wasteful number, since it uses less digits than its factorization.

85986440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149672 (or 2149668 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 85986440 is about 9272.8873604719. The cubic root of 85986440 is about 441.3772958359.

The spelling of 85986440 in words is "eighty-five million, nine hundred eighty-six thousand, four hundred forty".