1081264128 has 192 divisors, whose sum is σ = 3404943360. Its totient is φ = 298598400.

The previous prime is 1081264127. The next prime is 1081264147. The reversal of 1081264128 is 8214621801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1081264128² = 2338264228999200768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1081264127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332843 + ... + 1333653.

It is an arithmetic number, because the mean of its divisors is an integer number (17734080).

Almost surely, 2^1081264128 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 1081264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702471680).

1081264128 is an abundant number, since it is smaller than the sum of its proper divisors (2323679232).

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

1081264128 is an equidigital number, since it uses as much as digits as its factorization.

1081264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1081264128 is about 32882.5809206029. The cubic root of 1081264128 is about 1026.3857134938.

Adding to 1081264128 its reverse (8214621801), we get a palindrome (9295885929).

The spelling of 1081264128 in words is "one billion, eighty-one million, two hundred sixty-four thousand, one hundred twenty-eight".