1026530120 has 192 divisors, whose sum is σ = 2976220800. Its totient is φ = 311731200.

The previous prime is 1026530117. The next prime is 1026530123. The reversal of 1026530120 is 210356201.

1026530120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1026530117) and next prime (1026530123).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1026530092 and 1026530101.

It is not an unprimeable number, because it can be changed into a prime (1026530123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388711 + ... + 1389449.

It is an arithmetic number, because the mean of its divisors is an integer number (15501150).

Almost surely, 2^1026530120 is an apocalyptic number.

1026530120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488110400).

1026530120 is an abundant number, since it is smaller than the sum of its proper divisors (1949690680).

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

1026530120 is a wasteful number, since it uses less digits than its factorization.

1026530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1026530120 is about 32039.5087353099. The cubic root of 1026530120 is about 1008.7663007469.

Adding to 1026530120 its reverse (210356201), we get a palindrome (1236886321).

The spelling of 1026530120 in words is "one billion, twenty-six million, five hundred thirty thousand, one hundred twenty".