11278820 has 72 divisors (see below), whose sum is σ = 29216376. Its totient is φ = 3634176.

The previous prime is 11278811. The next prime is 11278829. The reversal of 11278820 is 2887211.

It is an interprime number because it is at equal distance from previous prime (11278811) and next prime (11278829).

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 5207524 = 2464^2 + 2282^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11278829) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16322 + ... + 16998.

It is an arithmetic number, because the mean of its divisors is an integer number (405783).

Almost surely, 2^11278820 is an apocalyptic number.

11278820 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 11278820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608188).

11278820 is an abundant number, since it is smaller than the sum of its proper divisors (17937556).

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

11278820 is a wasteful number, since it uses less digits than its factorization.

11278820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 11278820 is about 3358.3954502113. The cubic root of 11278820 is about 224.2614135552.

The spelling of 11278820 in words is "eleven million, two hundred seventy-eight thousand, eight hundred twenty".