11643520 has 128 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 3784704.

The previous prime is 11643509. The next prime is 11643539. The reversal of 11643520 is 2534611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11643491 and 11643500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102984 + ... + 103096.

It is an arithmetic number, because the mean of its divisors is an integer number (261630).

Almost surely, 2^11643520 is an apocalyptic number.

11643520 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 11643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

11643520 is an abundant number, since it is smaller than the sum of its proper divisors (21845120).

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

11643520 is a wasteful number, since it uses less digits than its factorization.

11643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 11643520 is about 3412.2602479881. The cubic root of 11643520 is about 226.6529787967.

The spelling of 11643520 in words is "eleven million, six hundred forty-three thousand, five hundred twenty".