8345000 has 40 divisors (see below), whose sum is σ = 19564050. Its totient is φ = 3336000.

The previous prime is 8344993. The next prime is 8345023. The reversal of 8345000 is 5438.

It can be written as a sum of positive squares in 5 ways, for example, as 131044 + 8213956 = 362^2 + 2866^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4166 + ... + 5834.

Almost surely, 2^8345000 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 8345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9782025).

8345000 is an abundant number, since it is smaller than the sum of its proper divisors (11219050).

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

8345000 is a wasteful number, since it uses less digits than its factorization.

8345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8345000 is about 2888.7713651309. The cubic root of 8345000 is about 202.8346344322.

The spelling of 8345000 in words is "eight million, three hundred forty-five thousand".