85051664 has 20 divisors (see below), whose sum is σ = 170470860. Its totient is φ = 41059200.

The previous prime is 85051651. The next prime is 85051667. The reversal of 85051664 is 46615058.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46512400 + 38539264 = 6820^2 + 6208^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85051667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91187 + ... + 92114.

It is an arithmetic number, because the mean of its divisors is an integer number (8523543).

Almost surely, 2^85051664 is an apocalyptic number.

It is an amenable number.

85051664 is an abundant number, since it is smaller than the sum of its proper divisors (85419196).

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

85051664 is a wasteful number, since it uses less digits than its factorization.

85051664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183338 (or 183332 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 85051664 is about 9222.3459054624. The cubic root of 85051664 is about 439.7720306671.

The spelling of 85051664 in words is "eighty-five million, fifty-one thousand, six hundred sixty-four".