1260545664 has 64 divisors (see below), whose sum is σ = 3826664640. Its totient is φ = 360155136.

The previous prime is 1260545647. The next prime is 1260545669. The reversal of 1260545664 is 4665450621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×1260545664⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1260545669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231789 + ... + 237164.

It is an arithmetic number, because the mean of its divisors is an integer number (59791635).

Almost surely, 2^1260545664 is an apocalyptic number.

1260545664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1260545664 is an abundant number, since it is smaller than the sum of its proper divisors (2566118976).

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

1260545664 is an equidigital number, since it uses as much as digits as its factorization.

1260545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468977 (or 468965 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 1260545664 is about 35504.1640374759. The cubic root of 1260545664 is about 1080.2381916336.

The spelling of 1260545664 in words is "one billion, two hundred sixty million, five hundred forty-five thousand, six hundred sixty-four".