1268585060 has 12 divisors (see below), whose sum is σ = 2664028668. Its totient is φ = 507434016.

The previous prime is 1268585057. The next prime is 1268585063. The reversal of 1268585060 is 605858621.

It is an interprime number because it is at equal distance from previous prime (1268585057) and next prime (1268585063).

It can be written as a sum of positive squares in 2 ways, for example, as 578787364 + 689797696 = 24058^2 + 26264^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1268584999 and 1268585017.

It is not an unprimeable number, because it can be changed into a prime (1268585063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31714607 + ... + 31714646.

It is an arithmetic number, because the mean of its divisors is an integer number (222002389).

Almost surely, 2^1268585060 is an apocalyptic number.

1268585060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1268585060 is an abundant number, since it is smaller than the sum of its proper divisors (1395443608).

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

1268585060 is a wasteful number, since it uses less digits than its factorization.

1268585060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63429262 (or 63429260 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 1268585060 is about 35617.2017429781. The cubic root of 1268585060 is about 1082.5298091058.

The spelling of 1268585060 in words is "one billion, two hundred sixty-eight million, five hundred eighty-five thousand, sixty".