1075821120 has 336 divisors, whose sum is σ = 4179539520. Its totient is φ = 251596800.

The previous prime is 1075821107. The next prime is 1075821157. The reversal of 1075821120 is 211285701.

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, 918135 + ... + 919305.

Almost surely, 2^1075821120 is an apocalyptic number.

1075821120 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 1075821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089769760).

1075821120 is an abundant number, since it is smaller than the sum of its proper divisors (3103718400).

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

1075821120 is a wasteful number, since it uses less digits than its factorization.

1075821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1075821120 is about 32799.7121938593. The cubic root of 1075821120 is about 1024.6605641873.

It can be divided in two parts, 10758 and 21120, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 1075821120 in words is "one billion, seventy-five million, eight hundred twenty-one thousand, one hundred twenty".