1268945370 has 192 divisors, whose sum is σ = 4172912640. Its totient is φ = 259862400.

The previous prime is 1268945347. The next prime is 1268945371. The reversal of 1268945370 is 735498621.

1268945370 is a `hidden beast` number, since 1 + 26 + 8 + 94 + 537 + 0 = 666.

1268945370 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1268945370² = 3220444704088873800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1268945370 is strictly pandigital in base 10.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1268945371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490741 + ... + 493319.

It is an arithmetic number, because the mean of its divisors is an integer number (21733920).

It is a 1-persistent number, because it is pandigital, but 2⋅1268945370 = 2537890740 is not.

Almost surely, 2^1268945370 is an apocalyptic number.

1268945370 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 1268945370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086456320).

1268945370 is an abundant number, since it is smaller than the sum of its proper divisors (2903967270).

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

1268945370 is a wasteful number, since it uses less digits than its factorization.

1268945370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1268945370 is about 35622.2594735370. The cubic root of 1268945370 is about 1082.6322879504.

The spelling of 1268945370 in words is "one billion, two hundred sixty-eight million, nine hundred forty-five thousand, three hundred seventy".