820013420 has 24 divisors (see below), whose sum is σ = 1732346784. Its totient is φ = 326039936.

The previous prime is 820013401. The next prime is 820013449. The reversal of 820013420 is 24310028.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 820013392 and 820013401.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 119417 + ... + 126096.

It is an arithmetic number, because the mean of its divisors is an integer number (72181116).

Almost surely, 2^820013420 is an apocalyptic number.

It is an amenable number.

820013420 is an abundant number, since it is smaller than the sum of its proper divisors (912333364).

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

820013420 is a wasteful number, since it uses less digits than its factorization.

820013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245689 (or 245687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 820013420 is about 28635.8764489582. The cubic root of 820013420 is about 935.9952683789.

Adding to 820013420 its reverse (24310028), we get a palindrome (844323448).

The spelling of 820013420 in words is "eight hundred twenty million, thirteen thousand, four hundred twenty".