11754720 has 120 divisors (see below), whose sum is σ = 41530104. Its totient is φ = 3131136.

The previous prime is 11754703. The next prime is 11754727. The reversal of 11754720 is 2745711.

11754720 is a `hidden beast` number, since 117 + 547 + 2 + 0 = 666.

11754720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11754727) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12507 + ... + 13413.

Almost surely, 2^11754720 is an apocalyptic number.

11754720 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 11754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765052).

11754720 is an abundant number, since it is smaller than the sum of its proper divisors (29775384).

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

11754720 is an equidigital number, since it uses as much as digits as its factorization.

11754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 11754720 is about 3428.5157138330. The cubic root of 11754720 is about 227.3722343415.

Subtracting from 11754720 its reverse (2745711), we obtain a palindrome (9009009).

The spelling of 11754720 in words is "eleven million, seven hundred fifty-four thousand, seven hundred twenty".