1133664 has 72 divisors (see below), whose sum is σ = 3476088. Its totient is φ = 322560.

The previous prime is 1133659. The next prime is 1133677. The reversal of 1133664 is 4663311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 4584 + ... + 4824.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

2^1133664 is an apocalyptic number.

1133664 is a gapful number since it is divisible by the number (14) 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 1133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738044).

1133664 is an abundant number, since it is smaller than the sum of its proper divisors (2342424).

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

1133664 is a wasteful number, since it uses less digits than its factorization.

1133664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 253 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 1133664 is about 1064.7365871426. The cubic root of 1133664 is about 104.2704989910.

Adding to 1133664 its reverse (4663311), we get a palindrome (5796975).

The spelling of 1133664 in words is "one million, one hundred thirty-three thousand, six hundred sixty-four".