10488000 has 224 divisors, whose sum is σ = 38039040. Its totient is φ = 2534400.

The previous prime is 10487999. The next prime is 10488059. The reversal of 10488000 is 88401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 455989 + ... + 456011.

Almost surely, 2^10488000 is an apocalyptic number.

10488000 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 10488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

10488000 is an abundant number, since it is smaller than the sum of its proper divisors (27551040).

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

10488000 is a wasteful number, since it uses less digits than its factorization.

10488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10488000 is about 3238.5181796618. The cubic root of 10488000 is about 218.8925057832.

The spelling of 10488000 in words is "ten million, four hundred eighty-eight thousand".