84306420 has 288 divisors, whose sum is σ = 308206080. Its totient is φ = 19128960.

The previous prime is 84306413. The next prime is 84306421. The reversal of 84306420 is 2460348.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84306421) 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 95 ways as a sum of consecutive naturals, for example, 1015699 + ... + 1015781.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 2^84306420 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 84306420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

84306420 is an abundant number, since it is smaller than the sum of its proper divisors (223899660).

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

84306420 is a wasteful number, since it uses less digits than its factorization.

84306420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84306420 is about 9181.8527542103. The cubic root of 84306420 is about 438.4837964409.

Adding to 84306420 its reverse (2460348), we get a palindrome (86766768).

The spelling of 84306420 in words is "eighty-four million, three hundred six thousand, four hundred twenty".