85358196 has 216 divisors, whose sum is σ = 282338784. Its totient is φ = 21490560.

The previous prime is 85358167. The next prime is 85358213. The reversal of 85358196 is 69185358.

It is a super-4 number, since 4×85358196⁴ (a number of 33 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1028371 + ... + 1028453.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^85358196 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 85358196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

85358196 is an abundant number, since it is smaller than the sum of its proper divisors (196980588).

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

85358196 is a wasteful number, since it uses less digits than its factorization.

85358196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 85358196 is about 9238.9499403341. The cubic root of 85358196 is about 440.2997200322.

It can be divided in two parts, 853 and 58196, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 85358196 in words is "eighty-five million, three hundred fifty-eight thousand, one hundred ninety-six".