85992354 has 144 divisors (see below), whose sum is σ = 236029248. Its totient is φ = 23351328.

The previous prime is 85992353. The next prime is 85992359. The reversal of 85992354 is 45329958.

85992354 is a `hidden beast` number, since 8 + 599 + 2 + 3 + 54 = 666.

It is a super-3 number, since 3×85992354³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (388800) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (85992353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547644 + ... + 547800.

It is an arithmetic number, because the mean of its divisors is an integer number (1639092).

Almost surely, 2^85992354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85992354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118014624).

85992354 is an abundant number, since it is smaller than the sum of its proper divisors (150036894).

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

85992354 is a wasteful number, since it uses less digits than its factorization.

85992354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 85992354 is about 9273.2062416405. The cubic root of 85992354 is about 441.3874146620.

The spelling of 85992354 in words is "eighty-five million, nine hundred ninety-two thousand, three hundred fifty-four".