11504416 has 144 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 4139520.

The previous prime is 11504413. The next prime is 11504419. The reversal of 11504416 is 61440511.

It is an interprime number because it is at equal distance from previous prime (11504413) and next prime (11504419).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11504413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396690 + ... + 396718.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 2^11504416 is an apocalyptic number.

11504416 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 11504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

11504416 is an abundant number, since it is smaller than the sum of its proper divisors (19521824).

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

11504416 is a wasteful number, since it uses less digits than its factorization.

11504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11504416 is about 3391.8160327471. The cubic root of 11504416 is about 225.7467599639.

Adding to 11504416 its reverse (61440511), we get a palindrome (72944927).

The spelling of 11504416 in words is "eleven million, five hundred four thousand, four hundred sixteen".