1026501120 has 160 divisors (see below), whose sum is σ = 3646463040. Its totient is φ = 273715200.

The previous prime is 1026501083. The next prime is 1026501127. The reversal of 1026501120 is 211056201.

1026501120 is a `hidden beast` number, since 1 + 0 + 2 + 650 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1026501120² = 2107409098722508800, 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 = 1026501093 and 1026501102.

It is not an unprimeable number, because it can be changed into a prime (1026501127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61695 + ... + 76545.

It is an arithmetic number, because the mean of its divisors is an integer number (22790394).

Almost surely, 2^1026501120 is an apocalyptic number.

1026501120 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 1026501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823231520).

1026501120 is an abundant number, since it is smaller than the sum of its proper divisors (2619961920).

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

1026501120 is an equidigital number, since it uses as much as digits as its factorization.

1026501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14861 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1026501120 is about 32039.0561658736. The cubic root of 1026501120 is about 1008.7568012698.

Adding to 1026501120 its reverse (211056201), we get a palindrome (1237557321).

The spelling of 1026501120 in words is "one billion, twenty-six million, five hundred one thousand, one hundred twenty".