11953408 has 36 divisors (see below), whose sum is σ = 24337908. Its totient is φ = 5857280.

The previous prime is 11953393. The next prime is 11953429. The reversal of 11953408 is 80435911.

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 6718464 = 2288^2 + 2592^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 11953408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13128 + ... + 14008.

It is an arithmetic number, because the mean of its divisors is an integer number (676053).

Almost surely, 2^11953408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12168954).

11953408 is an abundant number, since it is smaller than the sum of its proper divisors (12384500).

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

11953408 is an frugal number, since it uses more digits than its factorization.

11953408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 11953408 is about 3457.3700987890. The cubic root of 11953408 is about 228.6461612773.

The spelling of 11953408 in words is "eleven million, nine hundred fifty-three thousand, four hundred eight".