85416690 has 32 divisors (see below), whose sum is σ = 205517376. Its totient is φ = 22720320.

The previous prime is 85416689. The next prime is 85416713. The reversal of 85416690 is 9661458.

It is a super-2 number, since 2×85416690² = 14592021861112200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9249 + ... + 16011.

It is an arithmetic number, because the mean of its divisors is an integer number (6422418).

Almost surely, 2^85416690 is an apocalyptic number.

85416690 is an abundant number, since it is smaller than the sum of its proper divisors (120100686).

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

85416690 is a wasteful number, since it uses less digits than its factorization.

85416690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85416690 is about 9242.1150176786. The cubic root of 85416690 is about 440.4002728094.

The spelling of 85416690 in words is "eighty-five million, four hundred sixteen thousand, six hundred ninety".