11390624 has 48 divisors (see below), whose sum is σ = 25857216. Its totient is φ = 4838400.

The previous prime is 11390593. The next prime is 11390641. The reversal of 11390624 is 42609311.

11390624 is nontrivially palindromic in base 15.

11390624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 15⁶-1.

11390624 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11390593 and 11390602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47144 + ... + 47384.

It is an arithmetic number, because the mean of its divisors is an integer number (538692).

Almost surely, 2^11390624 is an apocalyptic number.

11390624 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 11390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928608).

11390624 is an abundant number, since it is smaller than the sum of its proper divisors (14466592).

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

11390624 is a wasteful number, since it uses less digits than its factorization.

11390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 11390624 is about 3374.9998518518. Note that the first 3 decimals coincide. The cubic root of 11390624 is about 224.9999934156. Note that the first 5 decimals are identical.

Adding to 11390624 its reverse (42609311), we get a palindrome (53999935).

The spelling of 11390624 in words is "eleven million, three hundred ninety thousand, six hundred twenty-four".