11682264 has 128 divisors (see below), whose sum is σ = 35769600. Its totient is φ = 3133440.

The previous prime is 11682241. The next prime is 11682277. The reversal of 11682264 is 46228611.

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 31 ways as a sum of consecutive naturals, for example, 85204 + ... + 85340.

It is an arithmetic number, because the mean of its divisors is an integer number (279450).

Almost surely, 2^11682264 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 11682264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884800).

11682264 is an abundant number, since it is smaller than the sum of its proper divisors (24087336).

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

11682264 is a wasteful number, since it uses less digits than its factorization.

11682264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 11682264 is about 3417.9327085243. The cubic root of 11682264 is about 226.9040976120.

It can be divided in two parts, 116822 and 64, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 11682264 in words is "eleven million, six hundred eighty-two thousand, two hundred sixty-four".