11978820 has 96 divisors (see below), whose sum is σ = 42604800. Its totient is φ = 2737152.

The previous prime is 11978819. The next prime is 11978831. The reversal of 11978820 is 2887911.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (443800).

Almost surely, 2^11978820 is an apocalyptic number.

11978820 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 11978820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21302400).

11978820 is an abundant number, since it is smaller than the sum of its proper divisors (30625980).

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

11978820 is a wasteful number, since it uses less digits than its factorization.

11978820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11978820 is about 3461.0431953387. The cubic root of 11978820 is about 228.8080744783.

Subtracting from 11978820 its reverse (2887911), we obtain a palindrome (9090909).

The spelling of 11978820 in words is "eleven million, nine hundred seventy-eight thousand, eight hundred twenty".