1270829664 has 144 divisors (see below), whose sum is σ = 3913942032. Its totient is φ = 388813824.

The previous prime is 1270829641. The next prime is 1270829671. The reversal of 1270829664 is 4669280721.

It is a happy number.

1270829664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736707 + ... + 738429.

It is an arithmetic number, because the mean of its divisors is an integer number (27180153).

Almost surely, 2^1270829664 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 1270829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956971016).

1270829664 is an abundant number, since it is smaller than the sum of its proper divisors (2643112368).

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

1270829664 is a wasteful number, since it uses less digits than its factorization.

1270829664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1270829664 is about 35648.6979285359. The cubic root of 1270829664 is about 1083.1679003453.

The spelling of 1270829664 in words is "one billion, two hundred seventy million, eight hundred twenty-nine thousand, six hundred sixty-four".