11159820 has 144 divisors (see below), whose sum is σ = 41041728. Its totient is φ = 2396160.

The previous prime is 11159789. The next prime is 11159843. The reversal of 11159820 is 2895111.

11159820 = T₇₈₁ + T₇₈₂ + ... + T₈₁₅.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21160 + ... + 21680.

It is an arithmetic number, because the mean of its divisors is an integer number (285012).

Almost surely, 2^11159820 is an apocalyptic number.

11159820 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 11159820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864).

11159820 is an abundant number, since it is smaller than the sum of its proper divisors (29881908).

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

11159820 is a wasteful number, since it uses less digits than its factorization.

11159820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11159820 is about 3340.6316767941. The cubic root of 11159820 is about 223.4699147228.

The spelling of 11159820 in words is "eleven million, one hundred fifty-nine thousand, eight hundred twenty".