5168000 has 128 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 1843200.

The previous prime is 5167991. The next prime is 5168021. The reversal of 5168000 is 8615.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271991 + ... + 272009.

Almost surely, 2^5168000 is an apocalyptic number.

5168000 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 5168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

5168000 is an abundant number, since it is smaller than the sum of its proper divisors (9152800).

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

5168000 is a wasteful number, since it uses less digits than its factorization.

5168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 5168000 is about 2273.3235581413. The cubic root of 5168000 is about 172.8917094350.

The spelling of 5168000 in words is "five million, one hundred sixty-eight thousand".