12695328 has 72 divisors (see below), whose sum is σ = 38240748. Its totient is φ = 3981312.

The previous prime is 12695327. The next prime is 12695351. The reversal of 12695328 is 82359621.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 501264 = 3492^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12695328² = 322342706055168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12695292 and 12695301.

It is not an unprimeable number, because it can be changed into a prime (12695321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3600 + ... + 6192.

Almost surely, 2^12695328 is an apocalyptic number.

12695328 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 12695328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19120374).

12695328 is an abundant number, since it is smaller than the sum of its proper divisors (25545420).

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

12695328 is a wasteful number, since it uses less digits than its factorization.

12695328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2615 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12695328 is about 3563.0503785380. The cubic root of 12695328 is about 233.2820422408.

The spelling of 12695328 in words is "twelve million, six hundred ninety-five thousand, three hundred twenty-eight".