1024684668 has 360 divisors, whose sum is σ = 3398841600. Its totient is φ = 267478848.

The previous prime is 1024684657. The next prime is 1024684691. The reversal of 1024684668 is 8664864201.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12970653 + ... + 12970731.

Almost surely, 2^1024684668 is an apocalyptic number.

1024684668 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 1024684668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699420800).

1024684668 is an abundant number, since it is smaller than the sum of its proper divisors (2374156932).

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

1024684668 is a wasteful number, since it uses less digits than its factorization.

1024684668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1024684668 is about 32010.6961498809. The cubic root of 1024684668 is about 1008.1614324783.

The spelling of 1024684668 in words is "one billion, twenty-four million, six hundred eighty-four thousand, six hundred sixty-eight".