11248600 has 48 divisors (see below), whose sum is σ = 28536120. Its totient is φ = 4089600.

The previous prime is 11248597. The next prime is 11248603. The reversal of 11248600 is 684211.

It is an interprime number because it is at equal distance from previous prime (11248597) and next prime (11248603).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11248603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 357 + ... + 4756.

Almost surely, 2^11248600 is an apocalyptic number.

11248600 is a gapful number since it is divisible by the number (10) 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 11248600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268060).

11248600 is an abundant number, since it is smaller than the sum of its proper divisors (17287520).

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

11248600 is a wasteful number, since it uses less digits than its factorization.

11248600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11248600 is about 3353.8932600785. The cubic root of 11248600 is about 224.0609421769.

The spelling of 11248600 in words is "eleven million, two hundred forty-eight thousand, six hundred".