11867820 has 48 divisors (see below), whose sum is σ = 33492480. Its totient is φ = 3139776.

The previous prime is 11867809. The next prime is 11867827. The reversal of 11867820 is 2876811.

It is a happy number.

11867820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11867827) 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, 7629 + ... + 9051.

It is an arithmetic number, because the mean of its divisors is an integer number (697760).

Almost surely, 2^11867820 is an apocalyptic number.

11867820 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 11867820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746240).

11867820 is an abundant number, since it is smaller than the sum of its proper divisors (21624660).

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

11867820 is a wasteful number, since it uses less digits than its factorization.

11867820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11867820 is about 3444.9702466059. The cubic root of 11867820 is about 228.0991412486.

The spelling of 11867820 in words is "eleven million, eight hundred sixty-seven thousand, eight hundred twenty".