11627720 has 64 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 4209408.

The previous prime is 11627717. The next prime is 11627729. The reversal of 11627720 is 2772611.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11627720.

It is not an unprimeable number, because it can be changed into a prime (11627729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30491 + ... + 30869.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 2^11627720 is an apocalyptic number.

11627720 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 11627720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

11627720 is an abundant number, since it is smaller than the sum of its proper divisors (17100280).

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

11627720 is a wasteful number, since it uses less digits than its factorization.

11627720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 11627720 is about 3409.9442810697. The cubic root of 11627720 is about 226.5504113566.

The spelling of 11627720 in words is "eleven million, six hundred twenty-seven thousand, seven hundred twenty".