10488960 has 128 divisors (see below), whose sum is σ = 37209600. Its totient is φ = 2792448.

The previous prime is 10488953. The next prime is 10488967. The reversal of 10488960 is 6988401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10488953) and next prime (10488967).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10488960² = 220036563763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10488967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16977 + ... + 17583.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 2^10488960 is an apocalyptic number.

10488960 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 10488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604800).

10488960 is an abundant number, since it is smaller than the sum of its proper divisors (26720640).

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

10488960 is an equidigital number, since it uses as much as digits as its factorization.

10488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10488960 is about 3238.6663922053. Note that the first 3 decimals coincide. The cubic root of 10488960 is about 218.8991842219.

The spelling of 10488960 in words is "ten million, four hundred eighty-eight thousand, nine hundred sixty".