85114688 has 56 divisors (see below), whose sum is σ = 174955200. Its totient is φ = 41057280.

The previous prime is 85114643. The next prime is 85114709. The reversal of 85114688 is 88641158.

It is a super-2 number, since 2×85114688² = 14489020226674688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427613 + ... + 427811.

It is an arithmetic number, because the mean of its divisors is an integer number (3124200).

Almost surely, 2^85114688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87477600).

85114688 is an abundant number, since it is smaller than the sum of its proper divisors (89840512).

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

85114688 is a wasteful number, since it uses less digits than its factorization.

85114688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its digits is 61440, while the sum is 41.

The square root of 85114688 is about 9225.7621907352. The cubic root of 85114688 is about 439.8806287748.

The spelling of 85114688 in words is "eighty-five million, one hundred fourteen thousand, six hundred eighty-eight".