11754540 has 144 divisors (see below), whose sum is σ = 42981120. Its totient is φ = 2540160.

The previous prime is 11754539. The next prime is 11754569. The reversal of 11754540 is 4545711.

It is a happy number.

11754540 is a `hidden beast` number, since 117 + 5 + 4 + 540 = 666.

11754540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11754540² = 276338421223200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23695 + ... + 24185.

It is an arithmetic number, because the mean of its divisors is an integer number (298480).

Almost surely, 2^11754540 is an apocalyptic number.

11754540 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 11754540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490560).

11754540 is an abundant number, since it is smaller than the sum of its proper divisors (31226580).

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

11754540 is a wasteful number, since it uses less digits than its factorization.

11754540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 11754540 is about 3428.4894633060. The cubic root of 11754540 is about 227.3710737521.

The spelling of 11754540 in words is "eleven million, seven hundred fifty-four thousand, five hundred forty".