8144020 has 36 divisors (see below), whose sum is σ = 18180540. Its totient is φ = 3063808.

The previous prime is 8144011. The next prime is 8144029. The reversal of 8144020 is 204418.

It is an interprime number because it is at equal distance from previous prime (8144011) and next prime (8144029).

It can be written as a sum of positive squares in 6 ways, for example, as 101124 + 8042896 = 318^2 + 2836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8144029) 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, 5076 + ... + 6484.

It is an arithmetic number, because the mean of its divisors is an integer number (505015).

Almost surely, 2^8144020 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 8144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090270).

8144020 is an abundant number, since it is smaller than the sum of its proper divisors (10036520).

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

8144020 is a wasteful number, since it uses less digits than its factorization.

8144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 8144020 is about 2853.7729412131. The cubic root of 8144020 is about 201.1930358433.

Adding to 8144020 its reverse (204418), we get a palindrome (8348438).

The spelling of 8144020 in words is "eight million, one hundred forty-four thousand, twenty".