11834560 has 56 divisors (see below), whose sum is σ = 29114496. Its totient is φ = 4577280.

The previous prime is 11834539. The next prime is 11834569. The reversal of 11834560 is 6543811.

It is not an unprimeable number, because it can be changed into a prime (11834569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9324 + ... + 10516.

Almost surely, 2^11834560 is an apocalyptic number.

11834560 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 11834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557248).

11834560 is an abundant number, since it is smaller than the sum of its proper divisors (17279936).

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

11834560 is a wasteful number, since it uses less digits than its factorization.

11834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 11834560 is about 3440.1395320539. The cubic root of 11834560 is about 227.8858564804.

Subtracting from 11834560 its product of nonzero digits (2880), we obtain a triangular number (11831680 = T₄₈₆₄).

The spelling of 11834560 in words is "eleven million, eight hundred thirty-four thousand, five hundred sixty".