11248512 has 64 divisors (see below), whose sum is σ = 32607360. Its totient is φ = 3407360.

The previous prime is 11248507. The next prime is 11248529. The reversal of 11248512 is 21584211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2893 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (509490).

Almost surely, 2^11248512 is an apocalyptic number.

11248512 is a gapful number since it is divisible by the number (12) 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 11248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303680).

11248512 is an abundant number, since it is smaller than the sum of its proper divisors (21358848).

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

11248512 is a wasteful number, since it uses less digits than its factorization.

11248512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2679 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 11248512 is about 3353.8801409711. The cubic root of 11248512 is about 224.0603578845.

The spelling of 11248512 in words is "eleven million, two hundred forty-eight thousand, five hundred twelve".