84709590 has 64 divisors (see below), whose sum is σ = 233501184. Its totient is φ = 19266048.

The previous prime is 84709579. The next prime is 84709591. The reversal of 84709590 is 9590748.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84709591) 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 31 ways as a sum of consecutive naturals, for example, 46782 + ... + 48558.

It is an arithmetic number, because the mean of its divisors is an integer number (3648456).

Almost surely, 2^84709590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84709590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592).

84709590 is an abundant number, since it is smaller than the sum of its proper divisors (148791594).

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

84709590 is a wasteful number, since it uses less digits than its factorization.

84709590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 84709590 is about 9203.7812881446. The cubic root of 84709590 is about 439.1816573074.

The spelling of 84709590 in words is "eighty-four million, seven hundred nine thousand, five hundred ninety".