11741280 has 96 divisors (see below), whose sum is σ = 37685088. Its totient is φ = 3072000.

The previous prime is 11741273. The next prime is 11741287. The reversal of 11741280 is 8214711.

It is an interprime number because it is at equal distance from previous prime (11741273) and next prime (11741287).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11741280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11741287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29080 + ... + 29480.

It is an arithmetic number, because the mean of its divisors is an integer number (392553).

Almost surely, 2^11741280 is an apocalyptic number.

11741280 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 11741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842544).

11741280 is an abundant number, since it is smaller than the sum of its proper divisors (25943808).

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

11741280 is a wasteful number, since it uses less digits than its factorization.

11741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11741280 is about 3426.5551214011. Note that the first 3 decimals coincide. The cubic root of 11741280 is about 227.2855443923.

Adding to 11741280 its reverse (8214711), we get a palindrome (19955991).

It can be divided in two parts, 11741 and 280, that added together give a palindrome (12021).

The spelling of 11741280 in words is "eleven million, seven hundred forty-one thousand, two hundred eighty".