11796048 has 90 divisors (see below), whose sum is σ = 36340122. Its totient is φ = 3569280.

The previous prime is 11796023. The next prime is 11796049. The reversal of 11796048 is 84069711.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 17424 = 3432^2 + 132^2 .

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 (11796049) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17086 + ... + 17762.

Almost surely, 2^11796048 is an apocalyptic number.

11796048 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 11796048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170061).

11796048 is an abundant number, since it is smaller than the sum of its proper divisors (24544074).

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

11796048 is a wasteful number, since it uses less digits than its factorization.

11796048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11796048 is about 3434.5375234520. The cubic root of 11796048 is about 227.6383926305.

It can be divided in two parts, 1179 and 6048, that added together give a palindrome (7227).

The spelling of 11796048 in words is "eleven million, seven hundred ninety-six thousand, forty-eight".