85906845 has 32 divisors (see below), whose sum is σ = 157996800. Its totient is φ = 44235072.

The previous prime is 85906823. The next prime is 85906871. The reversal of 85906845 is 54860958.

It is not a de Polignac number, because 85906845 - 2⁸ = 85906589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85906845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7057 + ... + 14886.

It is an arithmetic number, because the mean of its divisors is an integer number (4937400).

Almost surely, 2^85906845 is an apocalyptic number.

It is an amenable number.

85906845 is a deficient number, since it is larger than the sum of its proper divisors (72089955).

85906845 is a wasteful number, since it uses less digits than its factorization.

85906845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21986 (or 21980 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85906845 is about 9268.5945536527. The cubic root of 85906845 is about 441.2410640011.

The spelling of 85906845 in words is "eighty-five million, nine hundred six thousand, eight hundred forty-five".