85661420 has 48 divisors (see below), whose sum is σ = 194402208. Its totient is φ = 31518720.

The previous prime is 85661417. The next prime is 85661479. The reversal of 85661420 is 2416658.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148172 + ... + 148748.

It is an arithmetic number, because the mean of its divisors is an integer number (4050046).

Almost surely, 2^85661420 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 85661420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97201104).

85661420 is an abundant number, since it is smaller than the sum of its proper divisors (108740788).

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

85661420 is a wasteful number, since it uses less digits than its factorization.

85661420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 85661420 is about 9255.3454824766. The cubic root of 85661420 is about 440.8204732351.

The spelling of 85661420 in words is "eighty-five million, six hundred sixty-one thousand, four hundred twenty".