85658280 has 64 divisors (see below), whose sum is σ = 258984000. Its totient is φ = 22663680.

The previous prime is 85658269. The next prime is 85658281. The reversal of 85658280 is 8285658.

It is not an unprimeable number, because it can be changed into a prime (85658281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12996 + ... + 18444.

It is an arithmetic number, because the mean of its divisors is an integer number (4046625).

Almost surely, 2^85658280 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 85658280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129492000).

85658280 is an abundant number, since it is smaller than the sum of its proper divisors (173325720).

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

85658280 is a wasteful number, since it uses less digits than its factorization.

85658280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 85658280 is about 9255.1758492208. The cubic root of 85658280 is about 440.8150869394.

The spelling of 85658280 in words is "eighty-five million, six hundred fifty-eight thousand, two hundred eighty".