11947520 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 4399104.

The previous prime is 11947517. The next prime is 11947531. The reversal of 11947520 is 2574911.

11947520 = T₂₄₈ + T₂₄₉ + ... + T₄₄₂.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 33101 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^11947520 is an apocalyptic number.

11947520 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 11947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

11947520 is an abundant number, since it is smaller than the sum of its proper divisors (18988000).

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

11947520 is an equidigital number, since it uses as much as digits as its factorization.

11947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 11947520 is about 3456.5184796266. The cubic root of 11947520 is about 228.6086129981.

The spelling of 11947520 in words is "eleven million, nine hundred forty-seven thousand, five hundred twenty".