10880000 has 110 divisors (see below), whose sum is σ = 28776726. Its totient is φ = 4096000.

The previous prime is 10879987. The next prime is 10880029. The reversal of 10880000 is 8801.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2768896 + 8111104 = 1664^2 + 2848^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 9 ways as a sum of consecutive naturals, for example, 639992 + ... + 640008.

Almost surely, 2^10880000 is an apocalyptic number.

10880000 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 10880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388363).

10880000 is an abundant number, since it is smaller than the sum of its proper divisors (17896726).

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

10880000 is an frugal number, since it uses more digits than its factorization.

10880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 10880000 is about 3298.4845004941. The cubic root of 10880000 is about 221.5863302702.

Multiplying 10880000 by its sum of digits (17), we get a square (184960000 = 13600²).

10880000 divided by its sum of digits (17) gives a square (640000 = 800²).

Adding to 10880000 its reverse (8801), we get a palindrome (10888801).

It can be divided in two parts, 108 and 80000, that added together give a palindrome (80108).

The spelling of 10880000 in words is "ten million, eight hundred eighty thousand".