84260020 has 72 divisors (see below), whose sum is σ = 194332824. Its totient is φ = 30670848.

The previous prime is 84259999. The next prime is 84260021. The reversal of 84260020 is 2006248.

It can be written as a sum of positive squares in 12 ways, for example, as 22982436 + 61277584 = 4794^2 + 7828^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84259973 and 84260000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84260021) 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, 327732 + ... + 327988.

It is an arithmetic number, because the mean of its divisors is an integer number (2699067).

Almost surely, 2^84260020 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 84260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97166412).

84260020 is an abundant number, since it is smaller than the sum of its proper divisors (110072804).

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

84260020 is a wasteful number, since it uses less digits than its factorization.

84260020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 84260020 is about 9179.3256832950. The cubic root of 84260020 is about 438.4033384249.

Adding to 84260020 its reverse (2006248), we get a palindrome (86266268).

The spelling of 84260020 in words is "eighty-four million, two hundred sixty thousand, twenty".