11447920 has 40 divisors (see below), whose sum is σ = 29038320. Its totient is φ = 4162560.

The previous prime is 11447879. The next prime is 11447923. The reversal of 11447920 is 2974411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11447923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5625 + ... + 7384.

It is an arithmetic number, because the mean of its divisors is an integer number (725958).

Almost surely, 2^11447920 is an apocalyptic number.

11447920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11447920 is an abundant number, since it is smaller than the sum of its proper divisors (17590400).

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

11447920 is a wasteful number, since it uses less digits than its factorization.

11447920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 11447920 is about 3383.4775010335. The cubic root of 11447920 is about 225.3766202645.

It can be divided in two parts, 11 and 447920, that added together give a triangular number (447931 = T₉₄₆).

The spelling of 11447920 in words is "eleven million, four hundred forty-seven thousand, nine hundred twenty".