1075553856 has 336 divisors, whose sum is σ = 3569817600. Its totient is φ = 317011968.

The previous prime is 1075553849. The next prime is 1075553887. The reversal of 1075553856 is 6583555701.

1075553856 is a `hidden beast` number, since 10 + 7 + 5 + 553 + 85 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8468865 + ... + 8468991.

Almost surely, 2^1075553856 is an apocalyptic number.

1075553856 is a gapful number since it is divisible by the number (16) 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 1075553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784908800).

1075553856 is an abundant number, since it is smaller than the sum of its proper divisors (2494263744).

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

1075553856 is a wasteful number, since it uses less digits than its factorization.

1075553856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The square root of 1075553856 is about 32795.6377587020. The cubic root of 1075553856 is about 1024.5757057299.

It can be divided in two parts, 1075 and 553856, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 1075553856 in words is "one billion, seventy-five million, five hundred fifty-three thousand, eight hundred fifty-six".