1021267968 has 208 divisors, whose sum is σ = 3220832256. Its totient is φ = 281640960.

The previous prime is 1021267967. The next prime is 1021267987. The reversal of 1021267968 is 8697621201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021267967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2666305 + ... + 2666687.

Almost surely, 2^1021267968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610416128).

1021267968 is an abundant number, since it is smaller than the sum of its proper divisors (2199564288).

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

1021267968 is an equidigital number, since it uses as much as digits as its factorization.

1021267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1021267968 is about 31957.2834890577. The cubic root of 1021267968 is about 1007.0396497114.

The spelling of 1021267968 in words is "one billion, twenty-one million, two hundred sixty-seven thousand, nine hundred sixty-eight".