85257420 has 48 divisors (see below), whose sum is σ = 240565248. Its totient is φ = 22559680.

The previous prime is 85257401. The next prime is 85257449. The reversal of 85257420 is 2475258.

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 15 ways as a sum of consecutive naturals, for example, 2437 + ... + 13283.

It is an arithmetic number, because the mean of its divisors is an integer number (5011776).

Almost surely, 2^85257420 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 85257420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120282624).

85257420 is an abundant number, since it is smaller than the sum of its proper divisors (155307828).

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

85257420 is a wasteful number, since it uses less digits than its factorization.

85257420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10988 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 85257420 is about 9233.4944630947. The cubic root of 85257420 is about 440.1263755450.

The spelling of 85257420 in words is "eighty-five million, two hundred fifty-seven thousand, four hundred twenty".