11401824 has 144 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 3020544.

The previous prime is 11401823. The next prime is 11401853. The reversal of 11401824 is 42810411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11401824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242569 + ... + 242615.

It is an arithmetic number, because the mean of its divisors is an integer number (256032).

Almost surely, 2^11401824 is an apocalyptic number.

11401824 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 11401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

11401824 is an abundant number, since it is smaller than the sum of its proper divisors (25466784).

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

11401824 is a wasteful number, since it uses less digits than its factorization.

11401824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 11401824 is about 3376.6587035115. The cubic root of 11401824 is about 225.0737141189.

The spelling of 11401824 in words is "eleven million, four hundred one thousand, eight hundred twenty-four".