85638144 has 88 divisors (see below), whose sum is σ = 232506448. Its totient is φ = 28016640.

The previous prime is 85638121. The next prime is 85638167. The reversal of 85638144 is 44183658.

It is an interprime number because it is at equal distance from previous prime (85638121) and next prime (85638167).

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, 187164 + ... + 187620.

Almost surely, 2^85638144 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 85638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116253224).

85638144 is an abundant number, since it is smaller than the sum of its proper divisors (146868304).

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

85638144 is a wasteful number, since it uses less digits than its factorization.

85638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 85638144 is about 9254.0879615443. The cubic root of 85638144 is about 440.7805429031.

The spelling of 85638144 in words is "eighty-five million, six hundred thirty-eight thousand, one hundred forty-four".