11322864 has 120 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3153024.

The previous prime is 11322859. The next prime is 11322869. The reversal of 11322864 is 46822311.

11322864 is digitally balanced in base 2 and base 8, because in such bases 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 (11322859) and next prime (11322869).

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

11322864 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47257 + ... + 47495.

It is an arithmetic number, because the mean of its divisors is an integer number (309504).

Almost surely, 2^11322864 is an apocalyptic number.

11322864 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 11322864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

11322864 is an abundant number, since it is smaller than the sum of its proper divisors (25817616).

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

11322864 is a wasteful number, since it uses less digits than its factorization.

11322864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 11322864 is about 3364.9463591564. The cubic root of 11322864 is about 224.5529493842.

The spelling of 11322864 in words is "eleven million, three hundred twenty-two thousand, eight hundred sixty-four".