11773216 has 72 divisors (see below), whose sum is σ = 28776384. Its totient is φ = 4642560.

The previous prime is 11773213. The next prime is 11773219. The reversal of 11773216 is 61237711.

It is an interprime number because it is at equal distance from previous prime (11773213) and next prime (11773219).

It is a super-2 number, since 2×11773216² = 277217229965312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11773213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37701 + ... + 38011.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 2^11773216 is an apocalyptic number.

11773216 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 11773216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388192).

11773216 is an abundant number, since it is smaller than the sum of its proper divisors (17003168).

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

11773216 is a wasteful number, since it uses less digits than its factorization.

11773216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 11773216 is about 3431.2120307553. The cubic root of 11773216 is about 227.4914282485.

The spelling of 11773216 in words is "eleven million, seven hundred seventy-three thousand, two hundred sixteen".