11512368 has 160 divisors (see below), whose sum is σ = 39045120. Its totient is φ = 3219264.

The previous prime is 11512363. The next prime is 11512387. The reversal of 11512368 is 86321511.

11512368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11512363) 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, 244921 + ... + 244967.

It is an arithmetic number, because the mean of its divisors is an integer number (244032).

Almost surely, 2^11512368 is an apocalyptic number.

11512368 is a gapful number since it is divisible by the number (18) 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 11512368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522560).

11512368 is an abundant number, since it is smaller than the sum of its proper divisors (27532752).

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

11512368 is an frugal number, since it uses more digits than its factorization.

11512368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11512368 is about 3392.9880636395. The cubic root of 11512368 is about 225.7987610038.

Adding to 11512368 its reverse (86321511), we get a palindrome (97833879).

The spelling of 11512368 in words is "eleven million, five hundred twelve thousand, three hundred sixty-eight".