11775540 has 144 divisors (see below), whose sum is σ = 40134528. Its totient is φ = 2525952.

The previous prime is 11775539. The next prime is 11775541. The reversal of 11775540 is 4557711.

It is an interprime number because it is at equal distance from previous prime (11775539) and next prime (11775541).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11775498 and 11775507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11775541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222154 + ... + 222206.

It is an arithmetic number, because the mean of its divisors is an integer number (278712).

Almost surely, 2^11775540 is an apocalyptic number.

11775540 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 11775540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067264).

11775540 is an abundant number, since it is smaller than the sum of its proper divisors (28358988).

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

11775540 is a wasteful number, since it uses less digits than its factorization.

11775540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 11775540 is about 3431.5506698867. The cubic root of 11775540 is about 227.5063959881.

It can be divided in two parts, 117 and 75540, that added together give a palindrome (75657).

The spelling of 11775540 in words is "eleven million, seven hundred seventy-five thousand, five hundred forty".