84240585 has 144 divisors (see below), whose sum is σ = 184991040. Its totient is φ = 35043840.

The previous prime is 84240571. The next prime is 84240589. The reversal of 84240585 is 58504248.

It is not a de Polignac number, because 84240585 - 2⁵ = 84240553 is a prime.

It is a super-2 number, since 2×84240585² = 14192952322284450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84240589) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1589419 + ... + 1589471.

It is an arithmetic number, because the mean of its divisors is an integer number (1284660).

Almost surely, 2^84240585 is an apocalyptic number.

It is an amenable number.

84240585 is an abundant number, since it is smaller than the sum of its proper divisors (100750455).

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

84240585 is a wasteful number, since it uses less digits than its factorization.

84240585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

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

The square root of 84240585 is about 9178.2669932836. The cubic root of 84240585 is about 438.3696291836.

It can be divided in two parts, 84240 and 585, that multiplied together give a square (49280400 = 7020²).

The spelling of 84240585 in words is "eighty-four million, two hundred forty thousand, five hundred eighty-five".