11238864 has 160 divisors (see below), whose sum is σ = 37330944. Its totient is φ = 2833920.

The previous prime is 11238859. The next prime is 11238869. The reversal of 11238864 is 46883211.

It is an interprime number because it is at equal distance from previous prime (11238859) and next prime (11238869).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11238869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135367 + ... + 135449.

Almost surely, 2^11238864 is an apocalyptic number.

11238864 is a gapful number since it is divisible by the number (14) 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 11238864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665472).

11238864 is an abundant number, since it is smaller than the sum of its proper divisors (26092080).

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

11238864 is a wasteful number, since it uses less digits than its factorization.

11238864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 11238864 is about 3352.4414983710. The cubic root of 11238864 is about 223.9962797001.

The spelling of 11238864 in words is "eleven million, two hundred thirty-eight thousand, eight hundred sixty-four".