1076112000 has 512 divisors, whose sum is σ = 4124390400. Its totient is φ = 275558400.

The previous prime is 1076111999. The next prime is 1076112029. The reversal of 1076112000 is 2116701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20303974 + ... + 20304026.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2^1076112000 is an apocalyptic number.

1076112000 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 1076112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200).

1076112000 is an abundant number, since it is smaller than the sum of its proper divisors (3048278400).

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

1076112000 is an equidigital number, since it uses as much as digits as its factorization.

1076112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1076112000 is about 32804.1460794211. The cubic root of 1076112000 is about 1024.7529049432.

Adding to 1076112000 its reverse (2116701), we get a palindrome (1078228701).

The spelling of 1076112000 in words is "one billion, seventy-six million, one hundred twelve thousand".