1026601128 has 112 divisors (see below), whose sum is σ = 3298411680. Its totient is φ = 293302944.

The previous prime is 1026601123. The next prime is 1026601139. The reversal of 1026601128 is 8211066201.

1026601128 is a `hidden beast` number, since 10 + 26 + 601 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1026601123) 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 27 ways as a sum of consecutive naturals, for example, 28251 + ... + 53397.

Almost surely, 2^1026601128 is an apocalyptic number.

1026601128 is a gapful number since it is divisible by the number (18) 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 1026601128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649205840).

1026601128 is an abundant number, since it is smaller than the sum of its proper divisors (2271810552).

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

1026601128 is an equidigital number, since it uses as much as digits as its factorization.

1026601128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25178 (or 25159 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1026601128 is about 32040.6168479947. The cubic root of 1026601128 is about 1008.7895599527.

Adding to 1026601128 its reverse (8211066201), we get a palindrome (9237667329).

The spelling of 1026601128 in words is "one billion, twenty-six million, six hundred one thousand, one hundred twenty-eight".