11727820 has 48 divisors (see below), whose sum is σ = 27165600. Its totient is φ = 4225536.

The previous prime is 11727811. The next prime is 11727823. The reversal of 11727820 is 2872711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11727823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10656 + ... + 11704.

It is an arithmetic number, because the mean of its divisors is an integer number (565950).

Almost surely, 2^11727820 is an apocalyptic number.

11727820 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 11727820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582800).

11727820 is an abundant number, since it is smaller than the sum of its proper divisors (15437780).

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

11727820 is a wasteful number, since it uses less digits than its factorization.

11727820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 11727820 is about 3424.5904864670. The cubic root of 11727820 is about 227.1986591123.

The spelling of 11727820 in words is "eleven million, seven hundred twenty-seven thousand, eight hundred twenty".