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11097216 = 273313219

11097216 has 192 divisors, whose sum is σ = 37332000. Its totient is φ = 3234816.

The previous prime is 11097211. The next prime is 11097221. The reversal of 11097216 is 61279011.

It is an interprime number because it is at equal distance from previous prime (11097211) and next prime (11097221).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11097216.

It is not an unprimeable number, because it can be changed into a prime (11097211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584055 + ... + 584073.

Almost surely, 211097216 is an apocalyptic number.

11097216 is a gapful number since it is divisible by the number (16) 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 11097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18666000).

11097216 is an abundant number, since it is smaller than the sum of its proper divisors (26234784).

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

11097216 is a wasteful number, since it uses less digits than its factorization.

11097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11097216 is about 3331.2484146338. The cubic root of 11097216 is about 223.0512594398.

The spelling of 11097216 in words is "eleven million, ninety-seven thousand, two hundred sixteen".