85464306 has 24 divisors (see below), whose sum is σ = 189480720. Its totient is φ = 27825336.

The previous prime is 85464293. The next prime is 85464311. The reversal of 85464306 is 60346458.

85464306 is a `hidden beast` number, since 8 + 5 + 4 + 643 + 0 + 6 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54436 + ... + 55983.

It is an arithmetic number, because the mean of its divisors is an integer number (7895030).

Almost surely, 2^85464306 is an apocalyptic number.

85464306 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

85464306 is an abundant number, since it is smaller than the sum of its proper divisors (104016414).

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

85464306 is a wasteful number, since it uses less digits than its factorization.

85464306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110470 (or 110467 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 85464306 is about 9244.6906925002. The cubic root of 85464306 is about 440.4820921196.

The spelling of 85464306 in words is "eighty-five million, four hundred sixty-four thousand, three hundred six".