11013948 has 96 divisors (see below), whose sum is σ = 31825920. Its totient is φ = 3265920.

The previous prime is 11013923. The next prime is 11013967. The reversal of 11013948 is 84931011.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86661 + ... + 86787.

It is an arithmetic number, because the mean of its divisors is an integer number (331520).

Almost surely, 2^11013948 is an apocalyptic number.

11013948 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 11013948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912960).

11013948 is an abundant number, since it is smaller than the sum of its proper divisors (20811972).

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

11013948 is a wasteful number, since it uses less digits than its factorization.

11013948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11013948 is about 3318.7268643261. The cubic root of 11013948 is about 222.4919695793.

Adding to 11013948 its reverse (84931011), we get a palindrome (95944959).

The spelling of 11013948 in words is "eleven million, thirteen thousand, nine hundred forty-eight".