85084758 has 96 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 24508800.

The previous prime is 85084757. The next prime is 85084759. The reversal of 85084758 is 85748058.

It is an interprime number because it is at equal distance from previous prime (85084757) and next prime (85084759).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85084757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381435 + ... + 381657.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 2^85084758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85084758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

85084758 is an abundant number, since it is smaller than the sum of its proper divisors (126256554).

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

85084758 is a wasteful number, since it uses less digits than its factorization.

85084758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 85084758 is about 9224.1399599095. The cubic root of 85084758 is about 439.8290623881.

The spelling of 85084758 in words is "eighty-five million, eighty-four thousand, seven hundred fifty-eight".