11540448 has 144 divisors (see below), whose sum is σ = 36484560. Its totient is φ = 3545856.

The previous prime is 11540447. The next prime is 11540461. The reversal of 11540448 is 84404511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540447) 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, 311886 + ... + 311922.

It is an arithmetic number, because the mean of its divisors is an integer number (253365).

Almost surely, 2^11540448 is an apocalyptic number.

11540448 is a gapful number since it is divisible by the number (18) 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 11540448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

11540448 is an abundant number, since it is smaller than the sum of its proper divisors (24944112).

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

11540448 is a wasteful number, since it uses less digits than its factorization.

11540448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 11540448 is about 3397.1234890713. The cubic root of 11540448 is about 225.9821950627.

Adding to 11540448 its reverse (84404511), we get a palindrome (95944959).

The spelling of 11540448 in words is "eleven million, five hundred forty thousand, four hundred forty-eight".