1111264 has 72 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 422400.

The previous prime is 1111259. The next prime is 1111283. The reversal of 1111264 is 4621111.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27084 + ... + 27124.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

2^1111264 is an apocalyptic number.

1111264 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 1111264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672).

1111264 is an abundant number, since it is smaller than the sum of its proper divisors (1704080).

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

1111264 is a wasteful number, since it uses less digits than its factorization.

1111264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 1111264 is about 1054.1650724626. The cubic root of 1111264 is about 103.5791672605.

Adding to 1111264 its reverse (4621111), we get a palindrome (5732375).

It can be divided in two parts, 11 and 11264, that multiplied together give a square (123904 = 352²).

The spelling of 1111264 in words is "one million, one hundred eleven thousand, two hundred sixty-four".