1272340864 has 128 divisors (see below), whose sum is σ = 2763694080. Its totient is φ = 581898240.

The previous prime is 1272340859. The next prime is 1272340879. The reversal of 1272340864 is 4680432721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10018369 + ... + 10018495.

It is an arithmetic number, because the mean of its divisors is an integer number (21591360).

Almost surely, 2^1272340864 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 1272340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

1272340864 is an abundant number, since it is smaller than the sum of its proper divisors (1491353216).

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

1272340864 is a wasteful number, since it uses less digits than its factorization.

1272340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 1272340864 is about 35669.8873561440. The cubic root of 1272340864 is about 1083.5970779593.

The spelling of 1272340864 in words is "one billion, two hundred seventy-two million, three hundred forty thousand, eight hundred sixty-four".