11953992 has 64 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 3694592.

The previous prime is 11953973. The next prime is 11953999. The reversal of 11953992 is 29935911.

11953992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11953992.

It is not an unprimeable number, because it can be changed into a prime (11953999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33688 + ... + 34040.

It is an arithmetic number, because the mean of its divisors is an integer number (501795).

Almost surely, 2^11953992 is an apocalyptic number.

11953992 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 11953992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

11953992 is an abundant number, since it is smaller than the sum of its proper divisors (20160888).

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

11953992 is a wasteful number, since it uses less digits than its factorization.

11953992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its digits is 21870, while the sum is 39.

The square root of 11953992 is about 3457.4545550159. The cubic root of 11953992 is about 228.6498848231.

The spelling of 11953992 in words is "eleven million, nine hundred fifty-three thousand, nine hundred ninety-two".