85417984 has 28 divisors (see below), whose sum is σ = 170841924. Its totient is φ = 42704896.

The previous prime is 85417973. The next prime is 85418009. The reversal of 85417984 is 48971458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2979 + ... + 13405.

Almost surely, 2^85417984 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 85417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85420962).

85417984 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

85417984 is an equidigital number, since it uses as much as digits as its factorization.

85417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453 (or 10429 counting only the distinct ones).

The product of its digits is 322560, while the sum is 46.

The square root of 85417984 is about 9242.1850230343. The cubic root of 85417984 is about 440.4024967115.

The spelling of 85417984 in words is "eighty-five million, four hundred seventeen thousand, nine hundred eighty-four".