10488800 has 72 divisors (see below), whose sum is σ = 29279376. Its totient is φ = 3594240.

The previous prime is 10488791. The next prime is 10488809. The reversal of 10488800 is 888401.

It is an interprime number because it is at equal distance from previous prime (10488791) and next prime (10488809).

It is a super-2 number, since 2×10488800² = 220029850880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10488809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4664 + ... + 6536.

It is an arithmetic number, because the mean of its divisors is an integer number (406658).

Almost surely, 2^10488800 is an apocalyptic number.

10488800 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 10488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639688).

10488800 is an abundant number, since it is smaller than the sum of its proper divisors (18790576).

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

10488800 is a wasteful number, since it uses less digits than its factorization.

10488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 10488800 is about 3238.6416905857. The cubic root of 10488800 is about 218.8980711770.

The spelling of 10488800 in words is "ten million, four hundred eighty-eight thousand, eight hundred".