11561424 has 80 divisors (see below), whose sum is σ = 35950080. Its totient is φ = 3127680.

The previous prime is 11561423. The next prime is 11561447. The reversal of 11561424 is 42416511.

11561424 = 397² + 398² + ... + 459².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11561394 and 11561403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11561423) 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, 5479 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (449376).

Almost surely, 2^11561424 is an apocalyptic number.

11561424 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 11561424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975040).

11561424 is an abundant number, since it is smaller than the sum of its proper divisors (24388656).

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

11561424 is a wasteful number, since it uses less digits than its factorization.

11561424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1842 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 11561424 is about 3400.2094053161. The cubic root of 11561424 is about 226.1190278061.

Adding to 11561424 its reverse (42416511), we get a palindrome (53977935).

The spelling of 11561424 in words is "eleven million, five hundred sixty-one thousand, four hundred twenty-four".