11006280 has 160 divisors (see below), whose sum is σ = 38332800. Its totient is φ = 2830464.

The previous prime is 11006269. The next prime is 11006297. The reversal of 11006280 is 8260011.

11006280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11006280² = 242276398876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139281 + ... + 139359.

It is an arithmetic number, because the mean of its divisors is an integer number (239580).

Almost surely, 2^11006280 is an apocalyptic number.

11006280 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 11006280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166400).

11006280 is an abundant number, since it is smaller than the sum of its proper divisors (27326520).

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

11006280 is a wasteful number, since it uses less digits than its factorization.

11006280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11006280 is about 3317.5714008895. The cubic root of 11006280 is about 222.4403240203.

Adding to 11006280 its reverse (8260011), we get a palindrome (19266291).

The spelling of 11006280 in words is "eleven million, six thousand, two hundred eighty".