11551248 has 60 divisors (see below), whose sum is σ = 33536048. Its totient is φ = 3849120.

The previous prime is 11551247. The next prime is 11551249. The reversal of 11551248 is 84215511.

It is an interprime number because it is at equal distance from previous prime (11551247) and next prime (11551249).

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

It is not an unprimeable number, because it can be changed into a prime (11551247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2403 + ... + 5373.

Almost surely, 2^11551248 is an apocalyptic number.

11551248 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 11551248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16768024).

11551248 is an abundant number, since it is smaller than the sum of its proper divisors (21984800).

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

11551248 is an equidigital number, since it uses as much as digits as its factorization.

11551248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2976 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 11551248 is about 3398.7126974783. The cubic root of 11551248 is about 226.0526673923.

Subtracting from 11551248 its sum of digits (27), we obtain a triangular number (11551221 = T₄₈₀₆).

Adding to 11551248 its reverse (84215511), we get a palindrome (95766759).

The spelling of 11551248 in words is "eleven million, five hundred fifty-one thousand, two hundred forty-eight".