5120820 has 120 divisors (see below), whose sum is σ = 16770600. Its totient is φ = 1306368.

The previous prime is 5120813. The next prime is 5120831. The reversal of 5120820 is 280215.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 4210704 = 954^2 + 2052^2 .

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 = 5120793 and 5120802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46926 + ... + 47034.

It is an arithmetic number, because the mean of its divisors is an integer number (139755).

Almost surely, 2^5120820 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 5120820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385300).

5120820 is an abundant number, since it is smaller than the sum of its proper divisors (11649780).

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

5120820 is a wasteful number, since it uses less digits than its factorization.

5120820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5120820 is about 2262.9228886553. The cubic root of 5120820 is about 172.3639759429.

The spelling of 5120820 in words is "five million, one hundred twenty thousand, eight hundred twenty".