11038968 has 24 divisors (see below), whose sum is σ = 29897400. Its totient is φ = 3679632.

The previous prime is 11038939. The next prime is 11038969. The reversal of 11038968 is 86983011.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11038969) 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 5 ways as a sum of consecutive naturals, for example, 76588 + ... + 76731.

It is an arithmetic number, because the mean of its divisors is an integer number (1245725).

Almost surely, 2^11038968 is an apocalyptic number.

11038968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11038968 is an abundant number, since it is smaller than the sum of its proper divisors (18858432).

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

11038968 is a wasteful number, since it uses less digits than its factorization.

11038968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153331 (or 153324 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11038968 is about 3322.4942437873. The cubic root of 11038968 is about 222.6603179054.

The spelling of 11038968 in words is "eleven million, thirty-eight thousand, nine hundred sixty-eight".