1293761664 has 96 divisors (see below), whose sum is σ = 4009359900. Its totient is φ = 398075904.

The previous prime is 1293761603. The next prime is 1293761671. The reversal of 1293761664 is 4661673921.

1293761664 is a `hidden beast` number, since 1 + 29 + 3 + 7 + 616 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1023488064 + 270273600 = 31992^2 + 16440^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 28219 + ... + 58170.

Almost surely, 2^1293761664 is an apocalyptic number.

It is an amenable number.

1293761664 is an abundant number, since it is smaller than the sum of its proper divisors (2715598236).

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

1293761664 is a wasteful number, since it uses less digits than its factorization.

1293761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86422 (or 86407 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1293761664 is about 35968.8985652883. The cubic root of 1293761664 is about 1089.6443201648.

The spelling of 1293761664 in words is "one billion, two hundred ninety-three million, seven hundred sixty-one thousand, six hundred sixty-four".