10481920 has 72 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 3962880.

The previous prime is 10481909. The next prime is 10481921. The reversal of 10481920 is 2918401.

It is a happy number.

It is a hoax number, since the sum of its digits (25) 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 (10481921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24105 + ... + 24535.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 2^10481920 is an apocalyptic number.

10481920 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 10481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

10481920 is an abundant number, since it is smaller than the sum of its proper divisors (16008320).

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

10481920 is an equidigital number, since it uses as much as digits as its factorization.

10481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10481920 is about 3237.5793426571. The cubic root of 10481920 is about 218.8501995383.

The spelling of 10481920 in words is "ten million, four hundred eighty-one thousand, nine hundred twenty".