13212864 has 168 divisors, whose sum is σ = 45171360. Its totient is φ = 3612672.

The previous prime is 13212863. The next prime is 13212883. The reversal of 13212864 is 46821231.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13212863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116872 + ... + 116984.

Almost surely, 2^13212864 is an apocalyptic number.

13212864 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 13212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585680).

13212864 is an abundant number, since it is smaller than the sum of its proper divisors (31958496).

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

13212864 is a wasteful number, since it uses less digits than its factorization.

13212864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13212864 is about 3634.9503435398. The cubic root of 13212864 is about 236.4098976333.

It can be divided in two parts, 132 and 12864, that added together give a square (12996 = 114²).

The spelling of 13212864 in words is "thirteen million, two hundred twelve thousand, eight hundred sixty-four".