1112664 has 64 divisors (see below), whose sum is σ = 3283200. Its totient is φ = 307584.

The previous prime is 1112663. The next prime is 1112677. The reversal of 1112664 is 4662111.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1112664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6127 + ... + 6305.

It is an arithmetic number, because the mean of its divisors is an integer number (51300).

2^1112664 is an apocalyptic number.

1112664 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 1112664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641600).

1112664 is an abundant number, since it is smaller than the sum of its proper divisors (2170536).

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

1112664 is a wasteful number, since it uses less digits than its factorization.

1112664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1112664 is about 1054.8288960775. The cubic root of 1112664 is about 103.6226462720.

Adding to 1112664 its reverse (4662111), we get a palindrome (5774775).

It can be divided in two parts, 111 and 2664, that added together give a triangular number (2775 = T₇₄).

The spelling of 1112664 in words is "one million, one hundred twelve thousand, six hundred sixty-four".