8342000 has 80 divisors (see below), whose sum is σ = 20852832. Its totient is φ = 3225600.

The previous prime is 8341997. The next prime is 8342011. The reversal of 8342000 is 2438.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 8342000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85952 + ... + 86048.

Almost surely, 2^8342000 is an apocalyptic number.

8342000 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 8342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426416).

8342000 is an abundant number, since it is smaller than the sum of its proper divisors (12510832).

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

8342000 is a wasteful number, since it uses less digits than its factorization.

8342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 8342000 is about 2888.2520665621. The cubic root of 8342000 is about 202.8103253914.

Adding to 8342000 its reverse (2438), we get a palindrome (8344438).

The spelling of 8342000 in words is "eight million, three hundred forty-two thousand".