11867920 has 40 divisors (see below), whose sum is σ = 27866520. Its totient is φ = 4700160.

The previous prime is 11867897. The next prime is 11867929. The reversal of 11867920 is 2976811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 11182336 = 828^2 + 3344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11867929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8040 + ... + 9400.

It is an arithmetic number, because the mean of its divisors is an integer number (696663).

Almost surely, 2^11867920 is an apocalyptic number.

11867920 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 11867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933260).

11867920 is an abundant number, since it is smaller than the sum of its proper divisors (15998600).

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

11867920 is a wasteful number, since it uses less digits than its factorization.

11867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11867920 is about 3444.9847604888. The cubic root of 11867920 is about 228.0997819124.

The spelling of 11867920 in words is "eleven million, eight hundred sixty-seven thousand, nine hundred twenty".