5190120 has 96 divisors (see below), whose sum is σ = 18181800. Its totient is φ = 1276416.

The previous prime is 5190103. The next prime is 5190127. The reversal of 5190120 is 210915.

It can be written as a sum of positive squares in 4 ways, for example, as 1572516 + 3617604 = 1254^2 + 1902^2 .

It is a super-2 number, since 2×5190120² = 53874691228800, which contains 22 as substring.

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 = 5190093 and 5190102.

It is not an unprimeable number, because it can be changed into a prime (5190127) 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, 4126 + ... + 5234.

Almost surely, 2^5190120 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 5190120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090900).

5190120 is an abundant number, since it is smaller than the sum of its proper divisors (12991680).

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

5190120 is a wasteful number, since it uses less digits than its factorization.

5190120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5190120 is about 2278.1834869035. The cubic root of 5190120 is about 173.1380278831.

The spelling of 5190120 in words is "five million, one hundred ninety thousand, one hundred twenty".