12955360 has 96 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 4423680.

The previous prime is 12955351. The next prime is 12955361. The reversal of 12955360 is 6355921.

12955360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12955360³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12955361) 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, 29704 + ... + 30136.

It is an arithmetic number, because the mean of its divisors is an integer number (369117).

Almost surely, 2^12955360 is an apocalyptic number.

12955360 is a gapful number since it is divisible by the number (10) 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 12955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

12955360 is an abundant number, since it is smaller than the sum of its proper divisors (22479872).

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

12955360 is a wasteful number, since it uses less digits than its factorization.

12955360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 12955360 is about 3599.3554978635. The cubic root of 12955360 is about 234.8640227385.

The spelling of 12955360 in words is "twelve million, nine hundred fifty-five thousand, three hundred sixty".