85140384 has 192 divisors, whose sum is σ = 271982592. Its totient is φ = 22809600.

The previous prime is 85140371. The next prime is 85140397. The reversal of 85140384 is 48304158.

It is an interprime number because it is at equal distance from previous prime (85140371) and next prime (85140397).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270719 + ... + 1270785.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 2^85140384 is an apocalyptic number.

85140384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135991296).

85140384 is an abundant number, since it is smaller than the sum of its proper divisors (186842208).

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

85140384 is a wasteful number, since it uses less digits than its factorization.

85140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 85140384 is about 9227.1547077092. The cubic root of 85140384 is about 439.9248907606.

The spelling of 85140384 in words is "eighty-five million, one hundred forty thousand, three hundred eighty-four".