5038320 has 80 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1151232.

The previous prime is 5038289. The next prime is 5038321. The reversal of 5038320 is 238305.

5038320 = T₉₀ + T₉₁ + ... + T₃₁₃.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5038321) 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, 181 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^5038320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

5038320 is an abundant number, since it is smaller than the sum of its proper divisors (12817680).

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

5038320 is a wasteful number, since it uses less digits than its factorization.

5038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5038320 is about 2244.6202351400. The cubic root of 5038320 is about 171.4333252650.

It can be divided in two parts, 50383 and 20, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 5038320 in words is "five million, thirty-eight thousand, three hundred twenty".