1055842128 has 150 divisors (see below), whose sum is σ = 3359478122. Its totient is φ = 319904640.

The previous prime is 1055842037. The next prime is 1055842129. The reversal of 1055842128 is 8212485501.

It can be written as a sum of positive squares in only one way, i.e., 1054430784 + 1411344 = 32472^2 + 1188^2 .

It is a super-2 number, since 2×1055842128² = 2229605198519136768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1055842092 and 1055842101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055842129) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 153450 + ... + 160182.

Almost surely, 2^1055842128 is an apocalyptic number.

1055842128 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 1055842128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679739061).

1055842128 is an abundant number, since it is smaller than the sum of its proper divisors (2303635994).

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

1055842128 is a wasteful number, since it uses less digits than its factorization.

1055842128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1055842128 is about 32493.7244402669. The cubic root of 1055842128 is about 1018.2779246906.

The spelling of 1055842128 in words is "one billion, fifty-five million, eight hundred forty-two thousand, one hundred twenty-eight".