11849040 has 120 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 2707200.

The previous prime is 11849039. The next prime is 11849053. The reversal of 11849040 is 4094811.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 11848995 and 11849013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3865 + ... + 6215.

Almost surely, 2^11849040 is an apocalyptic number.

11849040 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 11849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

11849040 is an abundant number, since it is smaller than the sum of its proper divisors (33648048).

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

11849040 is a wasteful number, since it uses less digits than its factorization.

11849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11849040 is about 3442.2434544930. The cubic root of 11849040 is about 227.9787607177.

The spelling of 11849040 in words is "eleven million, eight hundred forty-nine thousand, forty".