85899450 has 288 divisors, whose sum is σ = 284981760. Its totient is φ = 16934400.

The previous prime is 85899433. The next prime is 85899461. The reversal of 85899450 is 5499858.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85899450.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2770935 + ... + 2770965.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^85899450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85899450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

85899450 is an abundant number, since it is smaller than the sum of its proper divisors (199082310).

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

85899450 is a wasteful number, since it uses less digits than its factorization.

85899450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 85899450 is about 9268.1956172709. The cubic root of 85899450 is about 441.2284027233.

The spelling of 85899450 in words is "eighty-five million, eight hundred ninety-nine thousand, four hundred fifty".