85168419 has 48 divisors (see below), whose sum is σ = 141391008. Its totient is φ = 45308928.

The previous prime is 85168409. The next prime is 85168427. The reversal of 85168419 is 91486158.

It is not a de Polignac number, because 85168419 - 2¹¹ = 85166371 is a prime.

It is a super-2 number, since 2×85168419² = 14507319189919122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85168409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432229 + ... + 432425.

It is an arithmetic number, because the mean of its divisors is an integer number (2945646).

Almost surely, 2^85168419 is an apocalyptic number.

85168419 is a deficient number, since it is larger than the sum of its proper divisors (56222589).

85168419 is a wasteful number, since it uses less digits than its factorization.

85168419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 85168419 is about 9228.6737400344. The cubic root of 85168419 is about 439.9731715736.

The spelling of 85168419 in words is "eighty-five million, one hundred sixty-eight thousand, four hundred nineteen".