11364132 has 48 divisors (see below), whose sum is σ = 28888832. Its totient is φ = 3456000.

The previous prime is 11364127. The next prime is 11364137. The reversal of 11364132 is 23146311.

11364132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11364127) and next prime (11364137).

It is a super-2 number, since 2×11364132² = 258286992226848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11364099 and 11364108.

It is not an unprimeable number, because it can be changed into a prime (11364137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14757 + ... + 15507.

Almost surely, 2^11364132 is an apocalyptic number.

11364132 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 11364132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14444416).

11364132 is an abundant number, since it is smaller than the sum of its proper divisors (17524700).

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

11364132 is a wasteful number, since it uses less digits than its factorization.

11364132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 11364132 is about 3371.0728262676. The cubic root of 11364132 is about 224.8254250782.

The spelling of 11364132 in words is "eleven million, three hundred sixty-four thousand, one hundred thirty-two".