84589440 has 128 divisors (see below), whose sum is σ = 290455200. Its totient is φ = 20815872.

The previous prime is 84589411. The next prime is 84589441. The reversal of 84589440 is 4498548.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 84589392 and 84589401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84589441) 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 15 ways as a sum of consecutive naturals, for example, 23266 + ... + 26654.

Almost surely, 2^84589440 is an apocalyptic number.

84589440 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 84589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145227600).

84589440 is an abundant number, since it is smaller than the sum of its proper divisors (205865760).

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

84589440 is a wasteful number, since it uses less digits than its factorization.

84589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 84589440 is about 9197.2517634346. The cubic root of 84589440 is about 438.9739175701.

The spelling of 84589440 in words is "eighty-four million, five hundred eighty-nine thousand, four hundred forty".