85917000 has 128 divisors (see below), whose sum is σ = 288812160. Its totient is φ = 21139200.

The previous prime is 85916977. The next prime is 85917011. The reversal of 85917000 is 71958.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37899 + ... + 40101.

It is an arithmetic number, because the mean of its divisors is an integer number (2256345).

Almost surely, 2^85917000 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 85917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144406080).

85917000 is an abundant number, since it is smaller than the sum of its proper divisors (202895160).

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

85917000 is a wasteful number, since it uses less digits than its factorization.

85917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 85917000 is about 9269.1423551481. The cubic root of 85917000 is about 441.2584496024.

Adding to 85917000 its reverse (71958), we get a palindrome (85988958).

The spelling of 85917000 in words is "eighty-five million, nine hundred seventeen thousand".