11953872 has 160 divisors (see below), whose sum is σ = 40473600. Its totient is φ = 3307392.

The previous prime is 11953867. The next prime is 11953883. The reversal of 11953872 is 27835911.

11953872 is a `hidden beast` number, since 119 + 538 + 7 + 2 = 666.

11953872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178383 + ... + 178449.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^11953872 is an apocalyptic number.

11953872 is a gapful number since it is divisible by the number (12) 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 11953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236800).

11953872 is an abundant number, since it is smaller than the sum of its proper divisors (28519728).

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

11953872 is a wasteful number, since it uses less digits than its factorization.

11953872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11953872 is about 3457.4372011650. The cubic root of 11953872 is about 228.6491197208.

The spelling of 11953872 in words is "eleven million, nine hundred fifty-three thousand, eight hundred seventy-two".