1076306112 has 336 divisors, whose sum is σ = 3719372800. Its totient is φ = 291133440.

The previous prime is 1076306107. The next prime is 1076306117. The reversal of 1076306112 is 2116036701.

1076306112 is a `hidden beast` number, since 10 + 7 + 6 + 30 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1076306107) and next prime (1076306117).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1076306117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9874314 + ... + 9874422.

Almost surely, 2^1076306112 is an apocalyptic number.

1076306112 is a gapful number since it is divisible by the number (12) 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 1076306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859686400).

1076306112 is an abundant number, since it is smaller than the sum of its proper divisors (2643066688).

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

1076306112 is a wasteful number, since it uses less digits than its factorization.

1076306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1076306112 is about 32807.1045964133. The cubic root of 1076306112 is about 1024.8145171412.

The spelling of 1076306112 in words is "one billion, seventy-six million, three hundred six thousand, one hundred twelve".