10993280 has 64 divisors (see below), whose sum is σ = 26713800. Its totient is φ = 4325376.

The previous prime is 10993259. The next prime is 10993309. The reversal of 10993280 is 8239901.

10993280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5721664 + 5271616 = 2392^2 + 2296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56864 + ... + 57056.

Almost surely, 2^10993280 is an apocalyptic number.

10993280 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 10993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356900).

10993280 is an abundant number, since it is smaller than the sum of its proper divisors (15720520).

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

10993280 is an equidigital number, since it uses as much as digits as its factorization.

10993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 10993280 is about 3315.6115574657. The cubic root of 10993280 is about 222.3527115096.

The spelling of 10993280 in words is "ten million, nine hundred ninety-three thousand, two hundred eighty".