84130020 has 144 divisors (see below), whose sum is σ = 277782960. Its totient is φ = 20487168.

The previous prime is 84130003. The next prime is 84130031. The reversal of 84130020 is 2003148.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1065024 + 83064996 = 1032^2 + 9114^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 84129975 and 84130002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367266 + ... + 367494.

Almost surely, 2^84130020 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 84130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138891480).

84130020 is an abundant number, since it is smaller than the sum of its proper divisors (193652940).

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

84130020 is a wasteful number, since it uses less digits than its factorization.

84130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 84130020 is about 9172.2418197516. The cubic root of 84130020 is about 438.1777598359.

Adding to 84130020 its reverse (2003148), we get a palindrome (86133168).

The spelling of 84130020 in words is "eighty-four million, one hundred thirty thousand, twenty".