11303864 has 64 divisors (see below), whose sum is σ = 25613280. Its totient is φ = 4608000.

The previous prime is 11303863. The next prime is 11303867. The reversal of 11303864 is 46830311.

It is a super-3 number, since 3×11303864³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303863) 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, 46784 + ... + 47024.

Almost surely, 2^11303864 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 11303864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806640).

11303864 is an abundant number, since it is smaller than the sum of its proper divisors (14309416).

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

11303864 is a wasteful number, since it uses less digits than its factorization.

11303864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 11303864 is about 3362.1219490078. The cubic root of 11303864 is about 224.4272775667.

It can be divided in two parts, 11303 and 864, that added together give a cube (12167 = 23³).

The spelling of 11303864 in words is "eleven million, three hundred three thousand, eight hundred sixty-four".