8190000 has 300 divisors, whose sum is σ = 35251216. Its totient is φ = 1728000.

The previous prime is 8189999. The next prime is 8190011. The reversal of 8190000 is 918.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×8190000² = 134152200000000, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 325 × 315 × 80.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 629994 + ... + 630006.

Almost surely, 2^8190000 is an apocalyptic number.

8190000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625608).

8190000 is an abundant number, since it is smaller than the sum of its proper divisors (27061216).

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

8190000 is a wasteful number, since it uses less digits than its factorization.

8190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 30 counting only the distinct ones).

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

The square root of 8190000 is about 2861.8176042508. The cubic root of 8190000 is about 201.5709614259.

Adding to 8190000 its reverse (918), we get a palindrome (8190918).

It can be divided in two parts, 81 and 90000, that multiplied together give a square (7290000 = 2700²).

The spelling of 8190000 in words is "eight million, one hundred ninety thousand".