85629138 has 32 divisors (see below), whose sum is σ = 204235776. Its totient is φ = 23401488.

The previous prime is 85629133. The next prime is 85629151. The reversal of 85629138 is 83192658.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85629138.

It is not an unprimeable number, because it can be changed into a prime (85629133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43356 + ... + 45287.

It is an arithmetic number, because the mean of its divisors is an integer number (6382368).

Almost surely, 2^85629138 is an apocalyptic number.

85629138 is an abundant number, since it is smaller than the sum of its proper divisors (118606638).

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

85629138 is a wasteful number, since it uses less digits than its factorization.

85629138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88678.

The product of its digits is 103680, while the sum is 42.

The square root of 85629138 is about 9253.6013529868. The cubic root of 85629138 is about 440.7650910318.

The spelling of 85629138 in words is "eighty-five million, six hundred twenty-nine thousand, one hundred thirty-eight".