11608272 has 150 divisors (see below), whose sum is σ = 37067382. Its totient is φ = 3504384.

The previous prime is 11608253. The next prime is 11608273. The reversal of 11608272 is 27280611.

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 11451456 = 396^2 + 3384^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11608273) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218998 + ... + 219050.

It is a vampire number, since it can be written as 1872 ⋅ 6201 (with its own digits).

Almost surely, 2^11608272 is an apocalyptic number.

11608272 is a gapful number since it is divisible by the number (12) 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 11608272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533691).

11608272 is an abundant number, since it is smaller than the sum of its proper divisors (25459110).

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

11608272 is a wasteful number, since it uses less digits than its factorization.

11608272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11608272 is about 3407.0914281833. The cubic root of 11608272 is about 226.4240348734.

Adding to 11608272 its reverse (27280611), we get a palindrome (38888883).

The spelling of 11608272 in words is "eleven million, six hundred eight thousand, two hundred seventy-two".