12961764 has 18 divisors (see below), whose sum is σ = 32764550. Its totient is φ = 4320576.

The previous prime is 12961757. The next prime is 12961777. The reversal of 12961764 is 46716921.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 1764 = 3600^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 360049 = 12961764 / (1 + 2 + 9 + 6 + 1 + 7 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179989 + ... + 180060.

Almost surely, 2^12961764 is an apocalyptic number.

It is an amenable number.

12961764 is an abundant number, since it is smaller than the sum of its proper divisors (19802786).

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

12961764 is a wasteful number, since it uses less digits than its factorization.

12961764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360059 (or 360054 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12961764 is about 3600.2449916638. The cubic root of 12961764 is about 234.9027151263.

It can be divided in two parts, 1296 and 1764, that multiplied together give a square (2286144 = 1512²).

The spelling of 12961764 in words is "twelve million, nine hundred sixty-one thousand, seven hundred sixty-four".