11149920 has 192 divisors, whose sum is σ = 40824000. Its totient is φ = 2838528.

The previous prime is 11149889. The next prime is 11149927. The reversal of 11149920 is 2994111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11149927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125236 + ... + 125324.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 2^11149920 is an apocalyptic number.

11149920 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 11149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412000).

11149920 is an abundant number, since it is smaller than the sum of its proper divisors (29674080).

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

11149920 is a wasteful number, since it uses less digits than its factorization.

11149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11149920 is about 3339.1495923363. The cubic root of 11149920 is about 223.4038142935.

The spelling of 11149920 in words is "eleven million, one hundred forty-nine thousand, nine hundred twenty".