85410000 has 300 divisors, whose sum is σ = 326073748. Its totient is φ = 20736000.

The previous prime is 85409983. The next prime is 85410019. The reversal of 85410000 is 1458.

It can be written as a sum of positive squares in 10 ways, for example, as 75898944 + 9511056 = 8712^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1169964 + ... + 1170036.

Almost surely, 2^85410000 is an apocalyptic number.

85410000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163036874).

85410000 is an abundant number, since it is smaller than the sum of its proper divisors (240663748).

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

85410000 is a wasteful number, since it uses less digits than its factorization.

85410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

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

The square root of 85410000 is about 9241.7530804496. The cubic root of 85410000 is about 440.3887748428.

Adding to 85410000 its reverse (1458), we get a palindrome (85411458).

The spelling of 85410000 in words is "eighty-five million, four hundred ten thousand".