85401000 has 128 divisors (see below), whose sum is σ = 296150400. Its totient is φ = 22766400.

The previous prime is 85400983. The next prime is 85401007. The reversal of 85401000 is 10458.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (85401007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25419 + ... + 28581.

It is an arithmetic number, because the mean of its divisors is an integer number (2313675).

Almost surely, 2^85401000 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 85401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148075200).

85401000 is an abundant number, since it is smaller than the sum of its proper divisors (210749400).

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

85401000 is a wasteful number, since it uses less digits than its factorization.

85401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85401000 is about 9241.2661470169. The cubic root of 85401000 is about 440.3733057790.

Adding to 85401000 its reverse (10458), we get a palindrome (85411458).

The spelling of 85401000 in words is "eighty-five million, four hundred one thousand".