11251920 has 80 divisors (see below), whose sum is σ = 35212032. Its totient is φ = 2972160.

The previous prime is 11251907. The next prime is 11251921. The reversal of 11251920 is 2915211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251921) 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 15 ways as a sum of consecutive naturals, for example, 41385 + ... + 41655.

Almost surely, 2^11251920 is an apocalyptic number.

11251920 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 11251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606016).

11251920 is an abundant number, since it is smaller than the sum of its proper divisors (23960112).

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

11251920 is a wasteful number, since it uses less digits than its factorization.

11251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11251920 is about 3354.3881707399. The cubic root of 11251920 is about 224.0829837096.

The spelling of 11251920 in words is "eleven million, two hundred fifty-one thousand, nine hundred twenty".