11149820 has 48 divisors (see below), whose sum is σ = 26006400. Its totient is φ = 3981120.

The previous prime is 11149813. The next prime is 11149829. The reversal of 11149820 is 2894111.

11149820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11149820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11149829) 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, 12551 + ... + 13409.

It is an arithmetic number, because the mean of its divisors is an integer number (541800).

Almost surely, 2^11149820 is an apocalyptic number.

11149820 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 11149820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003200).

11149820 is an abundant number, since it is smaller than the sum of its proper divisors (14856580).

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

11149820 is a wasteful number, since it uses less digits than its factorization.

11149820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 11149820 is about 3339.1346184304. The cubic root of 11149820 is about 223.4031464129.

It can be divided in two parts, 11 and 149820, that multiplied together give a triangular number (1648020 = T₁₈₁₅).

The spelling of 11149820 in words is "eleven million, one hundred forty-nine thousand, eight hundred twenty".