1093664 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 456960.

The previous prime is 1093663. The next prime is 1093667. The reversal of 1093664 is 4663901.

It is a super-2 number, since 2×1093664² = 2392201889792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1093663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4457 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2^1093664 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 1093664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

1093664 is an abundant number, since it is smaller than the sum of its proper divisors (1446496).

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

1093664 is a wasteful number, since it uses less digits than its factorization.

1093664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 1093664 is about 1045.7839164952. The cubic root of 1093664 is about 103.0294320013.

It can be divided in two parts, 109 and 3664, that added together give a palindrome (3773).

The spelling of 1093664 in words is "one million, ninety-three thousand, six hundred sixty-four".