1260101760 has 64 divisors (see below), whose sum is σ = 4016580480. Its totient is φ = 336026624.

The previous prime is 1260101753. The next prime is 1260101807. The reversal of 1260101760 is 671010621.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1260101760.

It is an unprimeable number.

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, 326232 + ... + 330071.

It is an arithmetic number, because the mean of its divisors is an integer number (62759070).

Almost surely, 2^1260101760 is an apocalyptic number.

1260101760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1260101760 is an abundant number, since it is smaller than the sum of its proper divisors (2756478720).

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

1260101760 is an equidigital number, since it uses as much as digits as its factorization.

1260101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656325 (or 656313 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1260101760 is about 35497.9120512742. The cubic root of 1260101760 is about 1080.1113739738. Note that the first 3 decimals are identical.

The spelling of 1260101760 in words is "one billion, two hundred sixty million, one hundred one thousand, seven hundred sixty".