1092896 has 72 divisors (see below), whose sum is σ = 2714796. Its totient is φ = 430080.

The previous prime is 1092893. The next prime is 1092901. The reversal of 1092896 is 6982901.

1092896 = T₁₈₁ + T₁₈₂ + ... + T₂₃₁.

It can be written as a sum of positive squares in 2 ways, for example, as 1073296 + 19600 = 1036^2 + 140^2 .

It is not an unprimeable number, because it can be changed into a prime (1092893) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26636 + ... + 26676.

2^1092896 is an apocalyptic number.

1092896 is a gapful number since it is divisible by the number (16) 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 1092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357398).

1092896 is an abundant number, since it is smaller than the sum of its proper divisors (1621900).

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

1092896 is a wasteful number, since it uses less digits than its factorization.

1092896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1092896 is about 1045.4166633453. The cubic root of 1092896 is about 103.0053096832.

The spelling of 1092896 in words is "one million, ninety-two thousand, eight hundred ninety-six".