11975320 has 64 divisors (see below), whose sum is σ = 32428800. Its totient is φ = 3888000.

The previous prime is 11975311. The next prime is 11975351. The reversal of 11975320 is 2357911.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4195 + ... + 6445.

It is an arithmetic number, because the mean of its divisors is an integer number (506700).

Almost surely, 2^11975320 is an apocalyptic number.

11975320 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 11975320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214400).

11975320 is an abundant number, since it is smaller than the sum of its proper divisors (20453480).

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

11975320 is a wasteful number, since it uses less digits than its factorization.

11975320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 11975320 is about 3460.5375305001. The cubic root of 11975320 is about 228.7857877458.

The spelling of 11975320 in words is "eleven million, nine hundred seventy-five thousand, three hundred twenty".