11677248 has 168 divisors, whose sum is σ = 38831520. Its totient is φ = 3317760.

The previous prime is 11677241. The next prime is 11677271. The reversal of 11677248 is 84277611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11677241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120336 + ... + 120432.

It is an arithmetic number, because the mean of its divisors is an integer number (231140).

Almost surely, 2^11677248 is an apocalyptic number.

11677248 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 11677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415760).

11677248 is an abundant number, since it is smaller than the sum of its proper divisors (27154272).

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

11677248 is a wasteful number, since it uses less digits than its factorization.

11677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11677248 is about 3417.1988528618. The cubic root of 11677248 is about 226.8716177808.

The spelling of 11677248 in words is "eleven million, six hundred seventy-seven thousand, two hundred forty-eight".