11967048 has 64 divisors (see below), whose sum is σ = 35208000. Its totient is φ = 3753216.

The previous prime is 11967047. The next prime is 11967049. The reversal of 11967048 is 84076911.

It is an interprime number because it is at equal distance from previous prime (11967047) and next prime (11967049).

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

It is not an unprimeable number, because it can be changed into a prime (11967047) 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, 2043 + ... + 5301.

It is an arithmetic number, because the mean of its divisors is an integer number (550125).

Almost surely, 2^11967048 is an apocalyptic number.

11967048 is a gapful number since it is divisible by the number (18) 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 11967048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604000).

11967048 is an abundant number, since it is smaller than the sum of its proper divisors (23240952).

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

11967048 is a wasteful number, since it uses less digits than its factorization.

11967048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11967048 is about 3459.3421339902. The cubic root of 11967048 is about 228.7330973805.

The spelling of 11967048 in words is "eleven million, nine hundred sixty-seven thousand, forty-eight".