11973792 has 48 divisors (see below), whose sum is σ = 32290272. Its totient is φ = 3882240.

The previous prime is 11973791. The next prime is 11973799. The reversal of 11973792 is 29737911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11973792.

It is not an unprimeable number, because it can be changed into a prime (11973791) 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 7 ways as a sum of consecutive naturals, for example, 1867 + ... + 5237.

It is an arithmetic number, because the mean of its divisors is an integer number (672714).

Almost surely, 2^11973792 is an apocalyptic number.

11973792 is a gapful number since it is divisible by the number (12) 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 11973792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145136).

11973792 is an abundant number, since it is smaller than the sum of its proper divisors (20316480).

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

11973792 is a wasteful number, since it uses less digits than its factorization.

11973792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3413 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 11973792 is about 3460.3167485073. The cubic root of 11973792 is about 228.7760566335.

The spelling of 11973792 in words is "eleven million, nine hundred seventy-three thousand, seven hundred ninety-two".