1268901510 has 64 divisors (see below), whose sum is σ = 3244389120. Its totient is φ = 316690560.

The previous prime is 1268901509. The next prime is 1268901553. The reversal of 1268901510 is 151098621.

It is a super-2 number, since 2×1268901510² = 3220222084160560200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33900 + ... + 60720.

It is an arithmetic number, because the mean of its divisors is an integer number (50693580).

Almost surely, 2^1268901510 is an apocalyptic number.

1268901510 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 1268901510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622194560).

1268901510 is an abundant number, since it is smaller than the sum of its proper divisors (1975487610).

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

1268901510 is a wasteful number, since it uses less digits than its factorization.

1268901510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26933.

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 1268901510 is about 35621.6438419116. The cubic root of 1268901510 is about 1082.6198143902.

The spelling of 1268901510 in words is "one billion, two hundred sixty-eight million, nine hundred one thousand, five hundred ten".