1000268352 has 140 divisors (see below), whose sum is σ = 2986422780. Its totient is φ = 331029504.

The previous prime is 1000268333. The next prime is 1000268363. The reversal of 1000268352 is 2538620001.

1000268352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 721244736 + 279023616 = 26856^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 813274 + ... + 814502.

Almost surely, 2^1000268352 is an apocalyptic number.

1000268352 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 1000268352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493211390).

1000268352 is an abundant number, since it is smaller than the sum of its proper divisors (1986154428).

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

1000268352 is a wasteful number, since it uses less digits than its factorization.

1000268352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1000268352 is about 31627.0193347397. The cubic root of 1000268352 is about 1000.0894426664.

Adding to 1000268352 its reverse (2538620001), we get a palindrome (3538888353).

The spelling of 1000268352 in words is "one billion, two hundred sixty-eight thousand, three hundred fifty-two".