10488520 has 64 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3515136.

The previous prime is 10488487. The next prime is 10488553. The reversal of 10488520 is 2588401.

It is an interprime number because it is at equal distance from previous prime (10488487) and next prime (10488553).

It is a super-2 number, since 2×10488520² = 220018103580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12762 + ... + 13558.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^10488520 is an apocalyptic number.

10488520 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 10488520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10488520 is an abundant number, since it is smaller than the sum of its proper divisors (17090360).

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

10488520 is a wasteful number, since it uses less digits than its factorization.

10488520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 10488520 is about 3238.5984622982. The cubic root of 10488520 is about 218.8961233214.

The spelling of 10488520 in words is "ten million, four hundred eighty-eight thousand, five hundred twenty".