11376820 has 144 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3338496.

The previous prime is 11376809. The next prime is 11376889. The reversal of 11376820 is 2867311.

11376820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242037 + ... + 242083.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^11376820 is an apocalyptic number.

11376820 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 11376820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

11376820 is an abundant number, since it is smaller than the sum of its proper divisors (20798540).

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

11376820 is a wasteful number, since it uses less digits than its factorization.

11376820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 11376820 is about 3372.9541947675. The cubic root of 11376820 is about 224.9090661346.

The spelling of 11376820 in words is "eleven million, three hundred seventy-six thousand, eight hundred twenty".