5005620 has 36 divisors (see below), whose sum is σ = 15184260. Its totient is φ = 1334784.

The previous prime is 5005613. The next prime is 5005621. The reversal of 5005620 is 265005.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 2322576 = 1638^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5005593 and 5005602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13725 + ... + 14084.

It is an arithmetic number, because the mean of its divisors is an integer number (421785).

Almost surely, 2^5005620 is an apocalyptic number.

It is an amenable number.

5005620 is an abundant number, since it is smaller than the sum of its proper divisors (10178640).

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

5005620 is a wasteful number, since it uses less digits than its factorization.

5005620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27824 (or 27819 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5005620 is about 2237.3242947771. The cubic root of 5005620 is about 171.0616377776.

It can be divided in two parts, 5005 and 620, that added together give a square (5625 = 75²).

The spelling of 5005620 in words is "five million, five thousand, six hundred twenty".