1024627968 has 432 divisors, whose sum is σ = 3791505536. Its totient is φ = 268738560.

The previous prime is 1024627963. The next prime is 1024627987. The reversal of 1024627968 is 8697264201.

It is a happy number.

1024627968 is a `hidden beast` number, since 10 + 2 + 4 + 627 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024627963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660838 + ... + 5661018.

Almost surely, 2^1024627968 is an apocalyptic number.

1024627968 is a gapful number since it is divisible by the number (18) 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 1024627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895752768).

1024627968 is an abundant number, since it is smaller than the sum of its proper divisors (2766877568).

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

1024627968 is an equidigital number, since it uses as much as digits as its factorization.

1024627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1024627968 is about 32009.8104961588. The cubic root of 1024627968 is about 1008.1428369014.

The spelling of 1024627968 in words is "one billion, twenty-four million, six hundred twenty-seven thousand, nine hundred sixty-eight".