85938534 has 96 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 24541440.

The previous prime is 85938533. The next prime is 85938563. The reversal of 85938534 is 43583958.

It is a happy number.

85938534 is a `hidden beast` number, since 8 + 593 + 8 + 53 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85938534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85938533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514519 + ... + 514685.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 2^85938534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85938534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

85938534 is an abundant number, since it is smaller than the sum of its proper divisors (129176730).

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

85938534 is a wasteful number, since it uses less digits than its factorization.

85938534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 85938534 is about 9270.3038785144. The cubic root of 85938534 is about 441.2953117900.

It can be divided in two parts, 859 and 38534, that added together give a palindrome (39393).

The spelling of 85938534 in words is "eighty-five million, nine hundred thirty-eight thousand, five hundred thirty-four".