11003964 has 72 divisors (see below), whose sum is σ = 28882560. Its totient is φ = 3250944.

The previous prime is 11003957. The next prime is 11004017. The reversal of 11003964 is 46930011.

It is a congruent number.

It is an unprimeable number.

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, 65809 + ... + 65975.

Almost surely, 2^11003964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14441280).

11003964 is an abundant number, since it is smaller than the sum of its proper divisors (17878596).

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

11003964 is a wasteful number, since it uses less digits than its factorization.

11003964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11003964 is about 3317.2223320121. Note that the first 3 decimals coincide. The cubic root of 11003964 is about 222.4247205670.

Adding to 11003964 its reverse (46930011), we get a palindrome (57933975).

The spelling of 11003964 in words is "eleven million, three thousand, nine hundred sixty-four".