11953280 has 64 divisors (see below), whose sum is σ = 30110400. Its totient is φ = 4525056.

The previous prime is 11953247. The next prime is 11953283. The reversal of 11953280 is 8235911.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11953283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11669 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (470475).

Almost surely, 2^11953280 is an apocalyptic number.

11953280 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 11953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055200).

11953280 is an abundant number, since it is smaller than the sum of its proper divisors (18157120).

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

11953280 is an equidigital number, since it uses as much as digits as its factorization.

11953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 11953280 is about 3457.3515875595. The cubic root of 11953280 is about 228.6453451415.

The spelling of 11953280 in words is "eleven million, nine hundred fifty-three thousand, two hundred eighty".