85017600 has 330 divisors, whose sum is σ = 322488474. Its totient is φ = 22118400.

The previous prime is 85017577. The next prime is 85017617. The reversal of 85017600 is 671058.

85017600 is a `hidden beast` number, since 8 + 50 + 1 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 84934656 = 288^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073580 + ... + 2073620.

Almost surely, 2^85017600 is an apocalyptic number.

85017600 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 85017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161244237).

85017600 is an abundant number, since it is smaller than the sum of its proper divisors (237470874).

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

85017600 is a wasteful number, since it uses less digits than its factorization.

85017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85017600 is about 9220.4989019033. The cubic root of 85017600 is about 439.7133118675.

Adding to 85017600 its reverse (671058), we get a palindrome (85688658).

The spelling of 85017600 in words is "eighty-five million, seventeen thousand, six hundred".