12952080 has 60 divisors (see below), whose sum is σ = 43499820. Its totient is φ = 3453696.

The previous prime is 12952057. The next prime is 12952099. The reversal of 12952080 is 8025921.

It can be written as a sum of positive squares in 2 ways, for example, as 7420176 + 5531904 = 2724^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8275 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (724997).

Almost surely, 2^12952080 is an apocalyptic number.

12952080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12952080 is an abundant number, since it is smaller than the sum of its proper divisors (30547740).

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

12952080 is a wasteful number, since it uses less digits than its factorization.

12952080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18008 (or 17999 counting only the distinct ones).

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

The square root of 12952080 is about 3598.8998318931. The cubic root of 12952080 is about 234.8442003376.

It can be divided in two parts, 129520 and 80, that added together give a square (129600 = 360²).

The spelling of 12952080 in words is "twelve million, nine hundred fifty-two thousand, eighty".