1008681660 has 360 divisors, whose sum is σ = 3747222864. Its totient is φ = 226437120.

The previous prime is 1008681607. The next prime is 1008681673. The reversal of 1008681660 is 661868001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7699795 + ... + 7699925.

Almost surely, 2^1008681660 is an apocalyptic number.

1008681660 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 1008681660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873611432).

1008681660 is an abundant number, since it is smaller than the sum of its proper divisors (2738541204).

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

1008681660 is a wasteful number, since it uses less digits than its factorization.

1008681660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

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

The square root of 1008681660 is about 31759.7490544242. The cubic root of 1008681660 is about 1002.8855522461.

The spelling of 1008681660 in words is "one billion, eight million, six hundred eighty-one thousand, six hundred sixty".