85634976 has 144 divisors (see below), whose sum is σ = 271905984. Its totient is φ = 23113728.

The previous prime is 85634963. The next prime is 85634977. The reversal of 85634976 is 67943658.

It is a super-2 number, since 2×85634976² = 14666698229041152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1088640) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (85634977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242416 + ... + 242768.

It is an arithmetic number, because the mean of its divisors is an integer number (1888236).

Almost surely, 2^85634976 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 85634976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135952992).

85634976 is an abundant number, since it is smaller than the sum of its proper divisors (186271008).

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

85634976 is a wasteful number, since it uses less digits than its factorization.

85634976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 85634976 is about 9253.9167923642. The cubic root of 85634976 is about 440.7751075916.

The spelling of 85634976 in words is "eighty-five million, six hundred thirty-four thousand, nine hundred seventy-six".