11919920 has 40 divisors (see below), whose sum is σ = 28469904. Its totient is φ = 4637952.

The previous prime is 11919863. The next prime is 11919923. The reversal of 11919920 is 2991911.

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

It is not an unprimeable number, because it can be changed into a prime (11919923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947 + ... + 4973.

Almost surely, 2^11919920 is an apocalyptic number.

11919920 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 11919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234952).

11919920 is an abundant number, since it is smaller than the sum of its proper divisors (16549984).

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

11919920 is a wasteful number, since it uses less digits than its factorization.

11919920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 32.

The square root of 11919920 is about 3452.5237146180. The cubic root of 11919920 is about 228.4324408002.

It can be divided in two parts, 1191 and 9920, that added together give a palindrome (11111).

The spelling of 11919920 in words is "eleven million, nine hundred nineteen thousand, nine hundred twenty".