85642110 has 80 divisors (see below), whose sum is σ = 240346656. Its totient is φ = 21840192.

The previous prime is 85642103. The next prime is 85642129. The reversal of 85642110 is 1124658.

85642110 is a `hidden beast` number, since 8 + 5 + 642 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16332 + ... + 20928.

Almost surely, 2^85642110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85642110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120173328).

85642110 is an abundant number, since it is smaller than the sum of its proper divisors (154704546).

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

85642110 is a wasteful number, since it uses less digits than its factorization.

85642110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85642110 is about 9254.3022427409. The cubic root of 85642110 is about 440.7873471477.

Adding to 85642110 its reverse (1124658), we get a palindrome (86766768).

The spelling of 85642110 in words is "eighty-five million, six hundred forty-two thousand, one hundred ten".