8006250 has 96 divisors (see below), whose sum is σ = 23248512. Its totient is φ = 1800000.

The previous prime is 8006237. The next prime is 8006279. The reversal of 8006250 is 526008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131220 + ... + 131280.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 2^8006250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8006250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256).

8006250 is an abundant number, since it is smaller than the sum of its proper divisors (15242262).

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

8006250 is an equidigital number, since it uses as much as digits as its factorization.

8006250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8006250 is about 2829.5317633842. The cubic root of 8006250 is about 200.0520697758.

It can be divided in two parts, 8006 and 250, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 8006250 in words is "eight million, six thousand, two hundred fifty".