85964688 has 30 divisors (see below), whose sum is σ = 240582134. Its totient is φ = 28654848.

The previous prime is 85964687. The next prime is 85964761. The reversal of 85964688 is 88646958.

It is a happy number.

85964688 is a `hidden beast` number, since 8 + 596 + 46 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 9437184 = 8748^2 + 3072^2 .

It is not an unprimeable number, because it can be changed into a prime (85964687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298345 + ... + 298632.

Almost surely, 2^85964688 is an apocalyptic number.

It is an amenable number.

85964688 is an abundant number, since it is smaller than the sum of its proper divisors (154617446).

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

85964688 is a wasteful number, since it uses less digits than its factorization.

85964688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596991 (or 596982 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 85964688 is about 9271.7144045748. The cubic root of 85964688 is about 441.3400742747.

The spelling of 85964688 in words is "eighty-five million, nine hundred sixty-four thousand, six hundred eighty-eight".