11676720 has 80 divisors (see below), whose sum is σ = 39497472. Its totient is φ = 2830080.

The previous prime is 11676703. The next prime is 11676767. The reversal of 11676720 is 2767611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429 + ... + 4851.

Almost surely, 2^11676720 is an apocalyptic number.

11676720 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 11676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19748736).

11676720 is an abundant number, since it is smaller than the sum of its proper divisors (27820752).

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

11676720 is a wasteful number, since it uses less digits than its factorization.

11676720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 11676720 is about 3417.1215957294. The cubic root of 11676720 is about 226.8681983102.

It can be divided in two parts, 1167 and 6720, that added together give a palindrome (7887).

The spelling of 11676720 in words is "eleven million, six hundred seventy-six thousand, seven hundred twenty".