11837920 has 48 divisors (see below), whose sum is σ = 28174608. Its totient is φ = 4700160.

The previous prime is 11837911. The next prime is 11837923. The reversal of 11837920 is 2973811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11837923) 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, 38407 + ... + 38713.

It is an arithmetic number, because the mean of its divisors is an integer number (586971).

Almost surely, 2^11837920 is an apocalyptic number.

11837920 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 11837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087304).

11837920 is an abundant number, since it is smaller than the sum of its proper divisors (16336688).

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

11837920 is a wasteful number, since it uses less digits than its factorization.

11837920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 11837920 is about 3440.6278496809. The cubic root of 11837920 is about 227.9074211189.

The spelling of 11837920 in words is "eleven million, eight hundred thirty-seven thousand, nine hundred twenty".