84420420 has 192 divisors, whose sum is σ = 290304000. Its totient is φ = 17902080.

The previous prime is 84420389. The next prime is 84420431. The reversal of 84420420 is 2402448.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566506 + ... + 566654.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^84420420 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 84420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

84420420 is an abundant number, since it is smaller than the sum of its proper divisors (205883580).

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

84420420 is a wasteful number, since it uses less digits than its factorization.

84420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 84420420 is about 9188.0585544499. The cubic root of 84420420 is about 438.6813481761.

Adding to 84420420 its reverse (2402448), we get a palindrome (86822868).

The spelling of 84420420 in words is "eighty-four million, four hundred twenty thousand, four hundred twenty".