11952320 has 56 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 4659200.

The previous prime is 11952307. The next prime is 11952337. The reversal of 11952320 is 2325911.

11952320 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12665 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 2^11952320 is an apocalyptic number.

11952320 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 11952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

11952320 is an abundant number, since it is smaller than the sum of its proper divisors (17235328).

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

11952320 is an equidigital number, since it uses as much as digits as its factorization.

11952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 11952320 is about 3457.2127501790. The cubic root of 11952320 is about 228.6392239372.

The spelling of 11952320 in words is "eleven million, nine hundred fifty-two thousand, three hundred twenty".