11678720 has 44 divisors (see below), whose sum is σ = 28027524. Its totient is φ = 4669440.

The previous prime is 11678707. The next prime is 11678743. The reversal of 11678720 is 2787611.

It can be written as a sum of positive squares in 2 ways, for example, as 5607424 + 6071296 = 2368^2 + 2464^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3980 + ... + 6260.

Almost surely, 2^11678720 is an apocalyptic number.

11678720 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 11678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013762).

11678720 is an abundant number, since it is smaller than the sum of its proper divisors (16348804).

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

11678720 is an equidigital number, since it uses as much as digits as its factorization.

11678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 11678720 is about 3417.4142271606. The cubic root of 11678720 is about 226.8811503062.

The spelling of 11678720 in words is "eleven million, six hundred seventy-eight thousand, seven hundred twenty".