1010686760 has 64 divisors (see below), whose sum is σ = 2407881600. Its totient is φ = 380733696.

The previous prime is 1010686757. The next prime is 1010686813. The reversal of 1010686760 is 676860101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010686760.

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 15 ways as a sum of consecutive naturals, for example, 127637 + ... + 135323.

It is an arithmetic number, because the mean of its divisors is an integer number (37623150).

Almost surely, 2^1010686760 is an apocalyptic number.

1010686760 is a gapful number since it is divisible by the number (10) 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 1010686760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203940800).

1010686760 is an abundant number, since it is smaller than the sum of its proper divisors (1397194840).

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

1010686760 is a wasteful number, since it uses less digits than its factorization.

1010686760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1010686760 is about 31791.3000677858. The cubic root of 1010686760 is about 1003.5496384915.

The spelling of 1010686760 in words is "one billion, ten million, six hundred eighty-six thousand, seven hundred sixty".