11248416 has 96 divisors (see below), whose sum is σ = 33626880. Its totient is φ = 3656448.

The previous prime is 11248331. The next prime is 11248417. The reversal of 11248416 is 61484211.

It is a happy number.

11248416 is a `hidden beast` number, since 1 + 1 + 248 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11248416.

It is not an unprimeable number, because it can be changed into a prime (11248417) 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, 40470 + ... + 40746.

It is an arithmetic number, because the mean of its divisors is an integer number (350280).

Almost surely, 2^11248416 is an apocalyptic number.

11248416 is a gapful number since it is divisible by the number (16) 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 11248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813440).

11248416 is an abundant number, since it is smaller than the sum of its proper divisors (22378464).

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

11248416 is a wasteful number, since it uses less digits than its factorization.

11248416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11248416 is about 3353.8658291589. The cubic root of 11248416 is about 224.0597204711.

It can be divided in two parts, 11248 and 416, that added together give a square (11664 = 108²).

The spelling of 11248416 in words is "eleven million, two hundred forty-eight thousand, four hundred sixteen".