1305868000 has 48 divisors (see below), whose sum is σ = 3208527504. Its totient is φ = 522345600.

The previous prime is 1305867949. The next prime is 1305868001. The reversal of 1305868000 is 8685031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305868001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159234 + ... + 167233.

It is an arithmetic number, because the mean of its divisors is an integer number (66844323).

Almost surely, 2^1305868000 is an apocalyptic number.

1305868000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305868000 is an abundant number, since it is smaller than the sum of its proper divisors (1902659504).

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

1305868000 is an equidigital number, since it uses as much as digits as its factorization.

1305868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326492 (or 326474 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1305868000 is about 36136.7956520774. The cubic root of 1305868000 is about 1093.0325449921.

The spelling of 1305868000 in words is "one billion, three hundred five million, eight hundred sixty-eight thousand".