1010688660 has 144 divisors (see below), whose sum is σ = 3331560960. Its totient is φ = 247069440.

The previous prime is 1010688649. The next prime is 1010688667. The reversal of 1010688660 is 668860101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010688667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101254 + ... + 110786.

It is an arithmetic number, because the mean of its divisors is an integer number (23135840).

Almost surely, 2^1010688660 is an apocalyptic number.

1010688660 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 1010688660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665780480).

1010688660 is an abundant number, since it is smaller than the sum of its proper divisors (2320872300).

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

1010688660 is a wasteful number, since it uses less digits than its factorization.

1010688660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1010688660 is about 31791.3299501609. The cubic root of 1010688660 is about 1003.5502673521.

The spelling of 1010688660 in words is "one billion, ten million, six hundred eighty-eight thousand, six hundred sixty".