8138020 has 48 divisors (see below), whose sum is σ = 18942336. Its totient is φ = 2912000.

The previous prime is 8137999. The next prime is 8138063. The reversal of 8138020 is 208318.

It is a Harshad number since it is a multiple of its sum of digits (22).

8138020 is an undulating number in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 8137982 and 8138000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15360 + ... + 15880.

It is an arithmetic number, because the mean of its divisors is an integer number (394632).

Almost surely, 2^8138020 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 8138020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471168).

8138020 is an abundant number, since it is smaller than the sum of its proper divisors (10804316).

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

8138020 is a wasteful number, since it uses less digits than its factorization.

8138020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8138020 is about 2852.7215076134. The cubic root of 8138020 is about 201.1436149271.

The spelling of 8138020 in words is "eight million, one hundred thirty-eight thousand, twenty".