85955250 has 64 divisors (see below), whose sum is σ = 221524992. Its totient is φ = 22176000.

The previous prime is 85955249. The next prime is 85955321. The reversal of 85955250 is 5255958.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85955199 and 85955208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21402 + ... + 25098.

It is an arithmetic number, because the mean of its divisors is an integer number (3461328).

Almost surely, 2^85955250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85955250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110762496).

85955250 is an abundant number, since it is smaller than the sum of its proper divisors (135569742).

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

85955250 is a wasteful number, since it uses less digits than its factorization.

85955250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The square root of 85955250 is about 9271.2054232446. The cubic root of 85955250 is about 441.3239222160.

The spelling of 85955250 in words is "eighty-five million, nine hundred fifty-five thousand, two hundred fifty".