1268852010 has 128 divisors (see below), whose sum is σ = 3260694528. Its totient is φ = 315456000.

The previous prime is 1268852003. The next prime is 1268852021. The reversal of 1268852010 is 102588621.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4079755 + ... + 4080065.

It is an arithmetic number, because the mean of its divisors is an integer number (25474176).

Almost surely, 2^1268852010 is an apocalyptic number.

1268852010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268852010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630347264).

1268852010 is an abundant number, since it is smaller than the sum of its proper divisors (1991842518).

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

1268852010 is a wasteful number, since it uses less digits than its factorization.

1268852010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500.

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1268852010 is about 35620.9490328374. The cubic root of 1268852010 is about 1082.6057364976.

The spelling of 1268852010 in words is "one billion, two hundred sixty-eight million, eight hundred fifty-two thousand, ten".