1406112 has 48 divisors (see below), whose sum is σ = 3753792. Its totient is φ = 460800.

The previous prime is 1406101. The next prime is 1406159. The reversal of 1406112 is 2116041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1406091 and 1406100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9237 + ... + 9387.

It is an arithmetic number, because the mean of its divisors is an integer number (78204).

2^1406112 is an apocalyptic number.

1406112 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 1406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876896).

1406112 is an abundant number, since it is smaller than the sum of its proper divisors (2347680).

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

1406112 is a wasteful number, since it uses less digits than its factorization.

1406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1406112 is about 1185.7959352266. The cubic root of 1406112 is about 112.0314537508.

The spelling of 1406112 in words is "one million, four hundred six thousand, one hundred twelve".