13112064 has 144 divisors (see below), whose sum is σ = 44477440. Its totient is φ = 3732480.

The previous prime is 13112063. The next prime is 13112081. The reversal of 13112064 is 46021131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13112063) 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, 48249 + ... + 48519.

Almost surely, 2^13112064 is an apocalyptic number.

13112064 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 13112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238720).

13112064 is an abundant number, since it is smaller than the sum of its proper divisors (31365376).

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

13112064 is an equidigital number, since it uses as much as digits as its factorization.

13112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13112064 is about 3621.0584088081. The cubic root of 13112064 is about 235.8071775554.

Adding to 13112064 its reverse (46021131), we get a palindrome (59133195).

It can be divided in two parts, 1311 and 2064, that added together give a cube (3375 = 15³).

The spelling of 13112064 in words is "thirteen million, one hundred twelve thousand, sixty-four".