1010680000 has 140 divisors (see below), whose sum is σ = 2735180712. Its totient is φ = 367360000.

The previous prime is 1010679997. The next prime is 1010680001. The reversal of 1010680000 is 860101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010680001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 438852 + ... + 441148.

Almost surely, 2^1010680000 is an apocalyptic number.

1010680000 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 1010680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367590356).

1010680000 is an abundant number, since it is smaller than the sum of its proper divisors (1724500712).

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

1010680000 is an equidigital number, since it uses as much as digits as its factorization.

1010680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1010680000 is about 31791.1937492130. The cubic root of 1010680000 is about 1003.5474010655.

The spelling of 1010680000 in words is "one billion, ten million, six hundred eighty thousand".