1024966656 has 240 divisors, whose sum is σ = 3481166080. Its totient is φ = 291962880.

The previous prime is 1024966643. The next prime is 1024966661. The reversal of 1024966656 is 6566694201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3096411 + ... + 3096741.

Almost surely, 2^1024966656 is an apocalyptic number.

1024966656 is a gapful number since it is divisible by the number (16) 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 1024966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740583040).

1024966656 is an abundant number, since it is smaller than the sum of its proper divisors (2456199424).

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

1024966656 is an frugal number, since it uses more digits than its factorization.

1024966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1024966656 is about 32015.1004371375. The cubic root of 1024966656 is about 1008.2539042929.

The spelling of 1024966656 in words is "one billion, twenty-four million, nine hundred sixty-six thousand, six hundred fifty-six".