11078820 has 72 divisors (see below), whose sum is σ = 34190520. Its totient is φ = 2903040.

The previous prime is 11078819. The next prime is 11078827. The reversal of 11078820 is 2887011.

11078820 = T₁₇₁ + T₁₇₂ + ... + T₄₁₄.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 11009124 = 264^2 + 3318^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11078827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10476 + ... + 11484.

Almost surely, 2^11078820 is an apocalyptic number.

11078820 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 11078820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095260).

11078820 is an abundant number, since it is smaller than the sum of its proper divisors (23111700).

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

11078820 is a wasteful number, since it uses less digits than its factorization.

11078820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11078820 is about 3328.4861423776. The cubic root of 11078820 is about 222.9279396091.

The spelling of 11078820 in words is "eleven million, seventy-eight thousand, eight hundred twenty".