10481760 has 144 divisors (see below), whose sum is σ = 37149840. Its totient is φ = 2688000.

The previous prime is 10481759. The next prime is 10481761. The reversal of 10481760 is 6718401.

It is a happy number.

10481760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10481759) and next prime (10481761).

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10481761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41635 + ... + 41885.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^10481760 is an apocalyptic number.

10481760 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 10481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574920).

10481760 is an abundant number, since it is smaller than the sum of its proper divisors (26668080).

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

10481760 is a wasteful number, since it uses less digits than its factorization.

10481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10481760 is about 3237.5546327437. The cubic root of 10481760 is about 218.8490859951.

The spelling of 10481760 in words is "ten million, four hundred eighty-one thousand, seven hundred sixty".