85629160 has 16 divisors (see below), whose sum is σ = 192665700. Its totient is φ = 34251648.

The previous prime is 85629151. The next prime is 85629163. The reversal of 85629160 is 6192658.

It can be written as a sum of positive squares in 2 ways, for example, as 85266756 + 362404 = 9234^2 + 602^2 .

It is not an unprimeable number, because it can be changed into a prime (85629163) 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, 1070325 + ... + 1070404.

Almost surely, 2^85629160 is an apocalyptic number.

It is an amenable number.

85629160 is an abundant number, since it is smaller than the sum of its proper divisors (107036540).

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

85629160 is a wasteful number, since it uses less digits than its factorization.

85629160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140740 (or 2140736 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 85629160 is about 9253.6025417131. The cubic root of 85629160 is about 440.7651287792.

The spelling of 85629160 in words is "eighty-five million, six hundred twenty-nine thousand, one hundred sixty".