8260000 has 120 divisors (see below), whose sum is σ = 23617440. Its totient is φ = 2784000.

The previous prime is 8259973. The next prime is 8260009. The reversal of 8260000 is 628.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (8260009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139971 + ... + 140029.

It is an arithmetic number, because the mean of its divisors is an integer number (196812).

Almost surely, 2^8260000 is an apocalyptic number.

8260000 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 8260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808720).

8260000 is an abundant number, since it is smaller than the sum of its proper divisors (15357440).

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

8260000 is an equidigital number, since it uses as much as digits as its factorization.

8260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8260000 is about 2874.0215726400. The cubic root of 8260000 is about 202.1436092795.

Adding to 8260000 its reverse (628), we get a palindrome (8260628).

The spelling of 8260000 in words is "eight million, two hundred sixty thousand".