8202420 has 36 divisors (see below), whose sum is σ = 24881220. Its totient is φ = 2187264.

The previous prime is 8202413. The next prime is 8202427. The reversal of 8202420 is 242028.

8202420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8202413) and next prime (8202427).

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 2471184 = 2394^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 8202393 and 8202402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8202427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22605 + ... + 22964.

It is an arithmetic number, because the mean of its divisors is an integer number (691145).

Almost surely, 2^8202420 is an apocalyptic number.

It is an amenable number.

8202420 is an abundant number, since it is smaller than the sum of its proper divisors (16678800).

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

8202420 is a wasteful number, since it uses less digits than its factorization.

8202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45584 (or 45579 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8202420 is about 2863.9867318128. The cubic root of 8202420 is about 201.6728029764.

Adding to 8202420 its reverse (242028), we get a palindrome (8444448).

It can be divided in two parts, 820 and 2420, that added together give a triangular number (3240 = T₈₀).

The spelling of 8202420 in words is "eight million, two hundred two thousand, four hundred twenty".