85984650 has 72 divisors (see below), whose sum is σ = 233264460. Its totient is φ = 22705920.

The previous prime is 85984643. The next prime is 85984663. The reversal of 85984650 is 5648958.

85984650 is a `hidden beast` number, since 8 + 598 + 4 + 6 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15374241 + 70610409 = 3921^2 + 8403^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 85984596 and 85984605.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48174 + ... + 49926.

Almost surely, 2^85984650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85984650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116632230).

85984650 is an abundant number, since it is smaller than the sum of its proper divisors (147279810).

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

85984650 is a wasteful number, since it uses less digits than its factorization.

85984650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85984650 is about 9272.7908420281. The cubic root of 85984650 is about 441.3742330629.

The spelling of 85984650 in words is "eighty-five million, nine hundred eighty-four thousand, six hundred fifty".