5040600 has 96 divisors (see below), whose sum is σ = 16189440. Its totient is φ = 1296000.

The previous prime is 5040599. The next prime is 5040601. The reversal of 5040600 is 60405.

5040600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5040599) and next prime (5040601).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5040600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18465 + ... + 18735.

It is an arithmetic number, because the mean of its divisors is an integer number (168640).

Almost surely, 2^5040600 is an apocalyptic number.

5040600 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 5040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094720).

5040600 is an abundant number, since it is smaller than the sum of its proper divisors (11148840).

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

5040600 is a wasteful number, since it uses less digits than its factorization.

5040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5040600 is about 2245.1280587085. The cubic root of 5040600 is about 171.4591810421.

The spelling of 5040600 in words is "five million, forty thousand, six hundred".