8368000 has 64 divisors (see below), whose sum is σ = 20844720. Its totient is φ = 3340800.

The previous prime is 8367991. The next prime is 8368007. The reversal of 8368000 is 8638.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8368007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15739 + ... + 16261.

Almost surely, 2^8368000 is an apocalyptic number.

8368000 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 8368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10422360).

8368000 is an abundant number, since it is smaller than the sum of its proper divisors (12476720).

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

8368000 is an equidigital number, since it uses as much as digits as its factorization.

8368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8368000 is about 2892.7495570823. The cubic root of 8368000 is about 203.0208104722.

It can be divided in two parts, 836 and 8000, that added together give a square (8836 = 94²).

The spelling of 8368000 in words is "eight million, three hundred sixty-eight thousand".