85961250 has 120 divisors (see below), whose sum is σ = 242209968. Its totient is φ = 22842000.

The previous prime is 85961237. The next prime is 85961251. The reversal of 85961250 is 5216958.

It is a happy number.

85961250 is a `hidden beast` number, since 8 + 596 + 12 + 50 = 666.

It is not an unprimeable number, because it can be changed into a prime (85961251) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 303609 + ... + 303891.

Almost surely, 2^85961250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85961250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121104984).

85961250 is an abundant number, since it is smaller than the sum of its proper divisors (156248718).

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

85961250 is an equidigital number, since it uses as much as digits as its factorization.

85961250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85961250 is about 9271.5290001164. The cubic root of 85961250 is about 441.3341906674.

The spelling of 85961250 in words is "eighty-five million, nine hundred sixty-one thousand, two hundred fifty".