84858320 has 40 divisors (see below), whose sum is σ = 200541480. Its totient is φ = 33384960.

The previous prime is 84858311. The next prime is 84858329. The reversal of 84858320 is 2385848.

It is an interprime number because it is at equal distance from previous prime (84858311) and next prime (84858329).

It can be written as a sum of positive squares in 4 ways, for example, as 659344 + 84198976 = 812^2 + 9176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84858329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3815 + ... + 13574.

It is an arithmetic number, because the mean of its divisors is an integer number (5013537).

Almost surely, 2^84858320 is an apocalyptic number.

84858320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84858320 is an abundant number, since it is smaller than the sum of its proper divisors (115683160).

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

84858320 is a wasteful number, since it uses less digits than its factorization.

84858320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17463 (or 17457 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 84858320 is about 9211.8575759724. The cubic root of 84858320 is about 439.4385400547.

The spelling of 84858320 in words is "eighty-four million, eight hundred fifty-eight thousand, three hundred twenty".