11822760 has 160 divisors (see below), whose sum is σ = 41164200. Its totient is φ = 3041280.

The previous prime is 11822747. The next prime is 11822773. The reversal of 11822760 is 6722811.

It is an interprime number because it is at equal distance from previous prime (11822747) and next prime (11822773).

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 7387524 = 2106^2 + 2718^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 132796 + ... + 132884.

Almost surely, 2^11822760 is an apocalyptic number.

11822760 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 11822760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582100).

11822760 is an abundant number, since it is smaller than the sum of its proper divisors (29341440).

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

11822760 is a wasteful number, since it uses less digits than its factorization.

11822760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11822760 is about 3438.4240576171. The cubic root of 11822760 is about 227.8100911700.

The spelling of 11822760 in words is "eleven million, eight hundred twenty-two thousand, seven hundred sixty".