11779220 has 48 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 4346496.

The previous prime is 11779219. The next prime is 11779231. The reversal of 11779220 is 2297711.

It is a super-3 number, since 3×11779220³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12899 + ... + 13781.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^11779220 is an apocalyptic number.

11779220 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 11779220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

11779220 is an abundant number, since it is smaller than the sum of its proper divisors (14952940).

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

11779220 is a wasteful number, since it uses less digits than its factorization.

11779220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 11779220 is about 3432.0868287385. The cubic root of 11779220 is about 227.5300930284.

The spelling of 11779220 in words is "eleven million, seven hundred seventy-nine thousand, two hundred twenty".