11949840 has 120 divisors (see below), whose sum is σ = 45883968. Its totient is φ = 2730240.

The previous prime is 11949809. The next prime is 11949851. The reversal of 11949840 is 4894911.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 11949795 and 11949804.

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, 3855 + ... + 6225.

Almost surely, 2^11949840 is an apocalyptic number.

11949840 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 11949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22941984).

11949840 is an abundant number, since it is smaller than the sum of its proper divisors (33934128).

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

11949840 is a wasteful number, since it uses less digits than its factorization.

11949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11949840 is about 3456.8540611371. The cubic root of 11949840 is about 228.6234093088.

The spelling of 11949840 in words is "eleven million, nine hundred forty-nine thousand, eight hundred forty".