1293905664 has 180 divisors, whose sum is σ = 4027424016. Its totient is φ = 412397568.

The previous prime is 1293905659. The next prime is 1293905671. The reversal of 1293905664 is 4665093921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 475572 + ... + 478284.

Almost surely, 2^1293905664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013712008).

1293905664 is an abundant number, since it is smaller than the sum of its proper divisors (2733518352).

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

1293905664 is an equidigital number, since it uses as much as digits as its factorization.

1293905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1293905664 is about 35970.9002389431. The cubic root of 1293905664 is about 1089.6847456840.

The spelling of 1293905664 in words is "one billion, two hundred ninety-three million, nine hundred five thousand, six hundred sixty-four".