11967240 has 64 divisors (see below), whose sum is σ = 37071360. Its totient is φ = 3087360.

The previous prime is 11967229. The next prime is 11967247. The reversal of 11967240 is 4276911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11967198 and 11967207.

It is not an unprimeable number, because it can be changed into a prime (11967247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2112 + ... + 5328.

It is an arithmetic number, because the mean of its divisors is an integer number (579240).

Almost surely, 2^11967240 is an apocalyptic number.

11967240 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 11967240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18535680).

11967240 is an abundant number, since it is smaller than the sum of its proper divisors (25104120).

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

11967240 is a wasteful number, since it uses less digits than its factorization.

11967240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 11967240 is about 3459.3698848201. The cubic root of 11967240 is about 228.7343206429.

The spelling of 11967240 in words is "eleven million, nine hundred sixty-seven thousand, two hundred forty".