11778048 has 120 divisors (see below), whose sum is σ = 35675640. Its totient is φ = 3870720.

The previous prime is 11778007. The next prime is 11778049. The reversal of 11778048 is 84087711.

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 (11778049) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165853 + ... + 165923.

It is an arithmetic number, because the mean of its divisors is an integer number (297297).

Almost surely, 2^11778048 is an apocalyptic number.

11778048 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 11778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820).

11778048 is an abundant number, since it is smaller than the sum of its proper divisors (23897592).

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

11778048 is an frugal number, since it uses more digits than its factorization.

11778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 11778048 is about 3431.9160828901. The cubic root of 11778048 is about 227.5225465719.

The spelling of 11778048 in words is "eleven million, seven hundred seventy-eight thousand, forty-eight".