5310120 has 128 divisors (see below), whose sum is σ = 17884800. Its totient is φ = 1253376.

The previous prime is 5310119. The next prime is 5310121. The reversal of 5310120 is 210135.

It is an interprime number because it is at equal distance from previous prime (5310119) and next prime (5310121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 5310096 and 5310105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5310121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38692 + ... + 38828.

It is an arithmetic number, because the mean of its divisors is an integer number (139725).

Almost surely, 2^5310120 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 5310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942400).

5310120 is an abundant number, since it is smaller than the sum of its proper divisors (12574680).

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

5310120 is a wasteful number, since it uses less digits than its factorization.

5310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5310120 is about 2304.3697619957. The cubic root of 5310120 is about 174.4622403609.

Adding to 5310120 its reverse (210135), we get a palindrome (5520255).

The spelling of 5310120 in words is "five million, three hundred ten thousand, one hundred twenty".