1010679768 has 224 divisors, whose sum is σ = 3420652800. Its totient is φ = 273357504.

The previous prime is 1010679757. The next prime is 1010679773. The reversal of 1010679768 is 8679760101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 775005 + ... + 776307.

Almost surely, 2^1010679768 is an apocalyptic number.

1010679768 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 1010679768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710326400).

1010679768 is an abundant number, since it is smaller than the sum of its proper divisors (2409973032).

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

1010679768 is a wasteful number, since it uses less digits than its factorization.

1010679768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1010679768 is about 31791.1901004036. The cubic root of 1010679768 is about 1003.5473242779.

The spelling of 1010679768 in words is "one billion, ten million, six hundred seventy-nine thousand, seven hundred sixty-eight".