85976064 has 132 divisors (see below), whose sum is σ = 261852240. Its totient is φ = 27095040.

The previous prime is 85976063. The next prime is 85976071. The reversal of 85976064 is 46067958.

It is not an unprimeable number, because it can be changed into a prime (85976063) by changing a digit.

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, 174859 + ... + 175349.

Almost surely, 2^85976064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130926120).

85976064 is an abundant number, since it is smaller than the sum of its proper divisors (175876176).

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

85976064 is a wasteful number, since it uses less digits than its factorization.

85976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 85976064 is about 9272.3278630557. The cubic root of 85976064 is about 441.3595414278.

The spelling of 85976064 in words is "eighty-five million, nine hundred seventy-six thousand, sixty-four".