85179680 has 24 divisors (see below), whose sum is σ = 201237372. Its totient is φ = 34071808.

The previous prime is 85179659. The next prime is 85179683. The reversal of 85179680 is 8697158.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80496784 + 4682896 = 8972^2 + 2164^2 .

It is not an unprimeable number, because it can be changed into a prime (85179683) 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, 266027 + ... + 266346.

Almost surely, 2^85179680 is an apocalyptic number.

85179680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85179680 is an abundant number, since it is smaller than the sum of its proper divisors (116057692).

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

85179680 is a wasteful number, since it uses less digits than its factorization.

85179680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532388 (or 532380 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 85179680 is about 9229.2838292037. The cubic root of 85179680 is about 439.9925618577.

The spelling of 85179680 in words is "eighty-five million, one hundred seventy-nine thousand, six hundred eighty".