85464576 has 120 divisors (see below), whose sum is σ = 261405144. Its totient is φ = 26787840.

The previous prime is 85464571. The next prime is 85464581. The reversal of 85464576 is 67546458.

It is an interprime number because it is at equal distance from previous prime (85464571) and next prime (85464581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85464571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77791 + ... + 78881.

Almost surely, 2^85464576 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 85464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130702572).

85464576 is an abundant number, since it is smaller than the sum of its proper divisors (175940568).

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

85464576 is a wasteful number, since it uses less digits than its factorization.

85464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1113 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 85464576 is about 9244.7052954651. The cubic root of 85464576 is about 440.4825559781.

The spelling of 85464576 in words is "eighty-five million, four hundred sixty-four thousand, five hundred seventy-six".