85853400 has 192 divisors, whose sum is σ = 297302400. Its totient is φ = 20367360.

The previous prime is 85853399. The next prime is 85853401. The reversal of 85853400 is 435858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85853399) and next prime (85853401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85853401) 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, 193579 + ... + 194021.

It is an arithmetic number, because the mean of its divisors is an integer number (1548450).

Almost surely, 2^85853400 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 85853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148651200).

85853400 is an abundant number, since it is smaller than the sum of its proper divisors (211449000).

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

85853400 is a wasteful number, since it uses less digits than its factorization.

85853400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85853400 is about 9265.7109818945. The cubic root of 85853400 is about 441.1495423041.

The spelling of 85853400 in words is "eighty-five million, eight hundred fifty-three thousand, four hundred".