85167390 has 192 divisors, whose sum is σ = 271848960. Its totient is φ = 16853760.

The previous prime is 85167389. The next prime is 85167427. The reversal of 85167390 is 9376158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371796 + ... + 372024.

It is an arithmetic number, because the mean of its divisors is an integer number (1415880).

Almost surely, 2^85167390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85167390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135924480).

85167390 is an abundant number, since it is smaller than the sum of its proper divisors (186681570).

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

85167390 is a wasteful number, since it uses less digits than its factorization.

85167390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 85167390 is about 9228.6179897101. The cubic root of 85167390 is about 439.9713996561.

The spelling of 85167390 in words is "eighty-five million, one hundred sixty-seven thousand, three hundred ninety".