85983660 has 288 divisors, whose sum is σ = 327022080. Its totient is φ = 18361728.

The previous prime is 85983659. The next prime is 85983673. The reversal of 85983660 is 6638958.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1999599 + ... + 1999641.

Almost surely, 2^85983660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85983660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163511040).

85983660 is an abundant number, since it is smaller than the sum of its proper divisors (241038420).

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

85983660 is a wasteful number, since it uses less digits than its factorization.

85983660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 85983660 is about 9272.7374598875. The cubic root of 85983660 is about 441.3725391088.

The spelling of 85983660 in words is "eighty-five million, nine hundred eighty-three thousand, six hundred sixty".