85638966 has 48 divisors (see below), whose sum is σ = 209741760. Its totient is φ = 23178960.

The previous prime is 85638953. The next prime is 85639003. The reversal of 85638966 is 66983658.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (4369620).

Almost surely, 2^85638966 is an apocalyptic number.

85638966 is an abundant number, since it is smaller than the sum of its proper divisors (124102794).

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

85638966 is a wasteful number, since it uses less digits than its factorization.

85638966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369 (or 15362 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 85638966 is about 9254.1323742423. The cubic root of 85638966 is about 440.7819531798.

The spelling of 85638966 in words is "eighty-five million, six hundred thirty-eight thousand, nine hundred sixty-six".