85985640 has 192 divisors, whose sum is σ = 317116800. Its totient is φ = 20030976.

The previous prime is 85985633. The next prime is 85985687. The reversal of 85985640 is 4658958.

85985640 is a `hidden beast` number, since 8 + 598 + 56 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88437 + ... + 89403.

It is an arithmetic number, because the mean of its divisors is an integer number (1651650).

Almost surely, 2^85985640 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 85985640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

85985640 is an abundant number, since it is smaller than the sum of its proper divisors (231131160).

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

85985640 is a wasteful number, since it uses less digits than its factorization.

85985640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1009 counting only the distinct ones).

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

The square root of 85985640 is about 9272.8442238614. The cubic root of 85985640 is about 441.3759270041.

The spelling of 85985640 in words is "eighty-five million, nine hundred eighty-five thousand, six hundred forty".