11007216 has 60 divisors (see below), whose sum is σ = 33610200. Its totient is φ = 3335040.

The previous prime is 11007173. The next prime is 11007233. The reversal of 11007216 is 61270011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1891 + ... + 5058.

It is an arithmetic number, because the mean of its divisors is an integer number (560170).

Almost surely, 2^11007216 is an apocalyptic number.

11007216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11007216 is an abundant number, since it is smaller than the sum of its proper divisors (22602984).

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

11007216 is a wasteful number, since it uses less digits than its factorization.

11007216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11007216 is about 3317.7124649372. The cubic root of 11007216 is about 222.4466294581.

Adding to 11007216 its reverse (61270011), we get a palindrome (72277227).

The spelling of 11007216 in words is "eleven million, seven thousand, two hundred sixteen".