10488320 has 80 divisors (see below), whose sum is σ = 26737128. Its totient is φ = 3932160.

The previous prime is 10488311. The next prime is 10488341. The reversal of 10488320 is 2388401.

It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 350464 = 3184^2 + 592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10488320² = 220009712844800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 10488320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43400 + ... + 43640.

Almost surely, 2^10488320 is an apocalyptic number.

10488320 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 10488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368564).

10488320 is an abundant number, since it is smaller than the sum of its proper divisors (16248808).

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

10488320 is an equidigital number, since it uses as much as digits as its factorization.

10488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 10488320 is about 3238.5675845966. The cubic root of 10488320 is about 218.8947319747.

The spelling of 10488320 in words is "ten million, four hundred eighty-eight thousand, three hundred twenty".