11157216 has 48 divisors (see below), whose sum is σ = 33473664. Its totient is φ = 3187584.

The previous prime is 11157197. The next prime is 11157217. The reversal of 11157216 is 61275111.

11157216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11157217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7630 + ... + 8973.

It is an arithmetic number, because the mean of its divisors is an integer number (697368).

Almost surely, 2^11157216 is an apocalyptic number.

11157216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11157216 is an abundant number, since it is smaller than the sum of its proper divisors (22316448).

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

11157216 is a wasteful number, since it uses less digits than its factorization.

11157216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16623 (or 16615 counting only the distinct ones).

The product of its digits is 420, while the sum is 24.

The square root of 11157216 is about 3340.2419074073. The cubic root of 11157216 is about 223.4525320971.

The spelling of 11157216 in words is "eleven million, one hundred fifty-seven thousand, two hundred sixteen".