5368000 has 112 divisors (see below), whose sum is σ = 14740128. Its totient is φ = 1920000.

The previous prime is 5367979. The next prime is 5368001. The reversal of 5368000 is 8635.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5368001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87970 + ... + 88030.

Almost surely, 2^5368000 is an apocalyptic number.

5368000 is a gapful number since it is divisible by the number (50) 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 5368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370064).

5368000 is an abundant number, since it is smaller than the sum of its proper divisors (9372128).

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

5368000 is a wasteful number, since it uses less digits than its factorization.

5368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5368000 is about 2316.8944732119. The cubic root of 5368000 is about 175.0938272360.

The spelling of 5368000 in words is "five million, three hundred sixty-eight thousand".