1026692768 has 48 divisors (see below), whose sum is σ = 2158301376. Its totient is φ = 479592960.

The previous prime is 1026692753. The next prime is 1026692861. The reversal of 1026692768 is 8672966201.

It is a super-4 number, since 4×1026692768⁴ (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15428 + ... + 47868.

It is an arithmetic number, because the mean of its divisors is an integer number (44964612).

Almost surely, 2^1026692768 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 1026692768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079150688).

1026692768 is an abundant number, since it is smaller than the sum of its proper divisors (1131608608).

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

1026692768 is a wasteful number, since it uses less digits than its factorization.

1026692768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32517 (or 32509 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 1026692768 is about 32042.0468759410. The cubic root of 1026692768 is about 1008.8195757404.

The spelling of 1026692768 in words is "one billion, twenty-six million, six hundred ninety-two thousand, seven hundred sixty-eight".