1296386560 has 160 divisors (see below), whose sum is σ = 3604626432. Its totient is φ = 437944320.

The previous prime is 1296386461. The next prime is 1296386593. The reversal of 1296386560 is 656836921.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1296386560² = 3361236225897267200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1296386560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307665 + ... + 1308655.

Almost surely, 2^1296386560 is an apocalyptic number.

1296386560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802313216).

1296386560 is an abundant number, since it is smaller than the sum of its proper divisors (2308239872).

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

1296386560 is an frugal number, since it uses more digits than its factorization.

1296386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 1296386560 is about 36005.3684886018. The cubic root of 1296386560 is about 1090.3807440187.

The spelling of 1296386560 in words is "one billion, two hundred ninety-six million, three hundred eighty-six thousand, five hundred sixty".