11519820 has 120 divisors (see below), whose sum is σ = 38989104. Its totient is φ = 2830464.

The previous prime is 11519813. The next prime is 11519843. The reversal of 11519820 is 2891511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20787 + ... + 21333.

Almost surely, 2^11519820 is an apocalyptic number.

11519820 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 11519820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494552).

11519820 is an abundant number, since it is smaller than the sum of its proper divisors (27469284).

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

11519820 is a wasteful number, since it uses less digits than its factorization.

11519820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11519820 is about 3394.0860330876. The cubic root of 11519820 is about 225.8474706303.

The spelling of 11519820 in words is "eleven million, five hundred nineteen thousand, eight hundred twenty".