85958784 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 26449920.

The previous prime is 85958779. The next prime is 85958819. The reversal of 85958784 is 48785958.

85958784 is a `hidden beast` number, since 8 + 59 + 587 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 85958784.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035607 + ... + 1035689.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^85958784 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 85958784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

85958784 is an abundant number, since it is smaller than the sum of its proper divisors (181362816).

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

85958784 is a wasteful number, since it uses less digits than its factorization.

85958784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 85958784 is about 9271.3960113890. The cubic root of 85958784 is about 441.3299703917.

The spelling of 85958784 in words is "eighty-five million, nine hundred fifty-eight thousand, seven hundred eighty-four".