10881920 has 96 divisors (see below), whose sum is σ = 30349080. Its totient is φ = 3720192.

The previous prime is 10881877. The next prime is 10881929. The reversal of 10881920 is 2918801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10881929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31187 + ... + 31533.

Almost surely, 2^10881920 is an apocalyptic number.

10881920 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 10881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174540).

10881920 is an abundant number, since it is smaller than the sum of its proper divisors (19467160).

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

10881920 is an equidigital number, since it uses as much as digits as its factorization.

10881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 10881920 is about 3298.7755304052. The cubic root of 10881920 is about 221.5993639935.

It can be divided in two parts, 108 and 81920, that added together give a palindrome (82028).

The spelling of 10881920 in words is "ten million, eight hundred eighty-one thousand, nine hundred twenty".