11851920 has 200 divisors, whose sum is σ = 43211520. Its totient is φ = 3006720.

The previous prime is 11851919. The next prime is 11851927. The reversal of 11851920 is 2915811.

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

It is not an unprimeable number, because it can be changed into a prime (11851927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200851 + ... + 200909.

Almost surely, 2^11851920 is an apocalyptic number.

11851920 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 11851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

11851920 is an abundant number, since it is smaller than the sum of its proper divisors (31359600).

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

11851920 is a wasteful number, since it uses less digits than its factorization.

11851920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

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

The square root of 11851920 is about 3442.6617609054. The cubic root of 11851920 is about 227.9972298832.

11851920 divided by its product of nonzero digits (720) gives a palindrome (16461).

The spelling of 11851920 in words is "eleven million, eight hundred fifty-one thousand, nine hundred twenty".