11284944 has 120 divisors (see below), whose sum is σ = 33643680. Its totient is φ = 3252480.

The previous prime is 11284943. The next prime is 11284951. The reversal of 11284944 is 44948211.

11284944 = 5² + 6² + ... + 323².

It is a super-2 number, since 2×11284944² = 254699922166272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168399 + ... + 168465.

It is an arithmetic number, because the mean of its divisors is an integer number (280364).

Almost surely, 2^11284944 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 11284944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821840).

11284944 is an abundant number, since it is smaller than the sum of its proper divisors (22358736).

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

11284944 is a wasteful number, since it uses less digits than its factorization.

11284944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 11284944 is about 3359.3070714062. The cubic root of 11284944 is about 224.3019948810.

The spelling of 11284944 in words is "eleven million, two hundred eighty-four thousand, nine hundred forty-four".