11626164 has 108 divisors (see below), whose sum is σ = 34420932. Its totient is φ = 3294720.

The previous prime is 11626141. The next prime is 11626183. The reversal of 11626164 is 46162611.

11626164 = T₁₈₁ + T₁₈₂ + ... + T₄₂₂.

11626164 = 248² + 249² + ... + 368².

11626164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 5336100 = 2508^2 + 2310^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73974 + ... + 74130.

Almost surely, 2^11626164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11626164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210466).

11626164 is an abundant number, since it is smaller than the sum of its proper divisors (22794768).

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

11626164 is a wasteful number, since it uses less digits than its factorization.

11626164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11626164 is about 3409.7161172156. The cubic root of 11626164 is about 226.5403053867.

Adding to 11626164 its reverse (46162611), we get a palindrome (57788775).

The spelling of 11626164 in words is "eleven million, six hundred twenty-six thousand, one hundred sixty-four".