11749120 has 72 divisors (see below), whose sum is σ = 28771344. Its totient is φ = 4595712.

The previous prime is 11749103. The next prime is 11749121. The reversal of 11749120 is 2194711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11749121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85692 + ... + 85828.

It is an arithmetic number, because the mean of its divisors is an integer number (399602).

Almost surely, 2^11749120 is an apocalyptic number.

11749120 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 11749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14385672).

11749120 is an abundant number, since it is smaller than the sum of its proper divisors (17022224).

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

11749120 is an equidigital number, since it uses as much as digits as its factorization.

11749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 11749120 is about 3427.6989366046. The cubic root of 11749120 is about 227.3361215640.

The spelling of 11749120 in words is "eleven million, seven hundred forty-nine thousand, one hundred twenty".