84265824 has 96 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 26956800.

The previous prime is 84265801. The next prime is 84265837. The reversal of 84265824 is 42856248.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 310809 + ... + 311079.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^84265824 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 84265824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

84265824 is an abundant number, since it is smaller than the sum of its proper divisors (146042016).

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

84265824 is a wasteful number, since it uses less digits than its factorization.

84265824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 84265824 is about 9179.6418230778. The cubic root of 84265824 is about 438.4134042290.

It can be divided in two parts, 842 and 65824, that added together give a palindrome (66666).

The spelling of 84265824 in words is "eighty-four million, two hundred sixty-five thousand, eight hundred twenty-four".