84340584 has 96 divisors (see below), whose sum is σ = 244108800. Its totient is φ = 26248320.

The previous prime is 84340579. The next prime is 84340589. The reversal of 84340584 is 48504348.

It is an interprime number because it is at equal distance from previous prime (84340579) and next prime (84340589).

It is a super-2 number, since 2×84340584² = 14226668218922112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (84340589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64077 + ... + 65379.

It is an arithmetic number, because the mean of its divisors is an integer number (2542800).

Almost surely, 2^84340584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84340584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122054400).

84340584 is an abundant number, since it is smaller than the sum of its proper divisors (159768216).

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

84340584 is a wasteful number, since it uses less digits than its factorization.

84340584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 84340584 is about 9183.7129746089. The cubic root of 84340584 is about 438.5430182548.

The spelling of 84340584 in words is "eighty-four million, three hundred forty thousand, five hundred eighty-four".