10990080 has 200 divisors, whose sum is σ = 40105692. Its totient is φ = 2875392.

The previous prime is 10990079. The next prime is 10990081. The reversal of 10990080 is 8009901.

It is an interprime number because it is at equal distance from previous prime (10990079) and next prime (10990081).

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 20736 = 3312^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10990081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207334 + ... + 207386.

Almost surely, 2^10990080 is an apocalyptic number.

10990080 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 10990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20052846).

10990080 is an abundant number, since it is smaller than the sum of its proper divisors (29115612).

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

10990080 is an frugal number, since it uses more digits than its factorization.

10990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10990080 is about 3315.1289567677. The cubic root of 10990080 is about 222.3311347607.

Adding to 10990080 its reverse (8009901), we get a palindrome (18999981).

The spelling of 10990080 in words is "ten million, nine hundred ninety thousand, eighty".