11848320 has 288 divisors, whose sum is σ = 47616660. Its totient is φ = 2703360.

The previous prime is 11848313. The next prime is 11848339. The reversal of 11848320 is 2384811.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 69696 = 3432^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696952 + ... + 696968.

Almost surely, 2^11848320 is an apocalyptic number.

11848320 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 11848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808330).

11848320 is an abundant number, since it is smaller than the sum of its proper divisors (35768340).

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

11848320 is a wasteful number, since it uses less digits than its factorization.

11848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11848320 is about 3442.1388699470. The cubic root of 11848320 is about 227.9741429588.

The spelling of 11848320 in words is "eleven million, eight hundred forty-eight thousand, three hundred twenty".