1268612352 has 324 divisors, whose sum is σ = 4512005316. Its totient is φ = 340623360.

The previous prime is 1268612341. The next prime is 1268612363. The reversal of 1268612352 is 2532168621.

1268612352 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 612 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1268612341) and next prime (1268612363).

It can be written as a sum of positive squares in 2 ways, for example, as 997549056 + 271063296 = 31584^2 + 16464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1918902 + ... + 1919562.

Almost surely, 2^1268612352 is an apocalyptic number.

1268612352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256002658).

1268612352 is an abundant number, since it is smaller than the sum of its proper divisors (3243392964).

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

1268612352 is a wasteful number, since it uses less digits than its factorization.

1268612352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 690 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1268612352 is about 35617.5848703979. The cubic root of 1268612352 is about 1082.5375721358.

The spelling of 1268612352 in words is "one billion, two hundred sixty-eight million, six hundred twelve thousand, three hundred fifty-two".