8019000 has 224 divisors, whose sum is σ = 30691440. Its totient is φ = 1944000.

The previous prime is 8018981. The next prime is 8019001. The reversal of 8019000 is 9108.

8019000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8019000² = 128608722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8019001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 728995 + ... + 729005.

Almost surely, 2^8019000 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 8019000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345720).

8019000 is an abundant number, since it is smaller than the sum of its proper divisors (22672440).

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

8019000 is a wasteful number, since it uses less digits than its factorization.

8019000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 8019000 is about 2831.7838900594. The cubic root of 8019000 is about 200.1582081512.

It can be divided in two parts, 801 and 9000, that added together give a square (9801 = 99²).

The spelling of 8019000 in words is "eight million, nineteen thousand".