1006112 has 24 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 480832.

The previous prime is 1006091. The next prime is 1006123. The reversal of 1006112 is 2116001.

It is a super-2 number, since 2×1006112² = 2024522713088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006093 and 1006102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

2^1006112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

1006112 is an abundant number, since it is smaller than the sum of its proper divisors (1062304).

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

1006112 is a wasteful number, since it uses less digits than its factorization.

1006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1006112 is about 1003.0513446479. The cubic root of 1006112 is about 100.2033196643.

The spelling of 1006112 in words is "one million, six thousand, one hundred twelve".