5096000 has 168 divisors, whose sum is σ = 15809976. Its totient is φ = 1612800.

The previous prime is 5095991. The next prime is 5096011. The reversal of 5096000 is 6905.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 4293184 = 896^2 + 2072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391994 + ... + 392006.

It is an arithmetic number, because the mean of its divisors is an integer number (94107).

Almost surely, 2^5096000 is an apocalyptic number.

5096000 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 5096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904988).

5096000 is an abundant number, since it is smaller than the sum of its proper divisors (10713976).

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

5096000 is a wasteful number, since it uses less digits than its factorization.

5096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5096000 is about 2257.4321695236. The cubic root of 5096000 is about 172.0850489790.

The spelling of 5096000 in words is "five million, ninety-six thousand".