85290660 has 288 divisors, whose sum is σ = 328753152. Its totient is φ = 17418240.

The previous prime is 85290659. The next prime is 85290671. The reversal of 85290660 is 6609258.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 671517 + ... + 671643.

It is an arithmetic number, because the mean of its divisors is an integer number (1141504).

Almost surely, 2^85290660 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 85290660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

85290660 is an abundant number, since it is smaller than the sum of its proper divisors (243462492).

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

85290660 is a wasteful number, since it uses less digits than its factorization.

85290660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 85290660 is about 9235.2942562758. The cubic root of 85290660 is about 440.1835666566.

The spelling of 85290660 in words is "eighty-five million, two hundred ninety thousand, six hundred sixty".