85682784 has 96 divisors (see below), whose sum is σ = 251475840. Its totient is φ = 25318400.

The previous prime is 85682783. The next prime is 85682813. The reversal of 85682784 is 48728658.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85682783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42307 + ... + 44285.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^85682784 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 85682784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125737920).

85682784 is an abundant number, since it is smaller than the sum of its proper divisors (165793056).

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

85682784 is a wasteful number, since it uses less digits than its factorization.

85682784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2036 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 85682784 is about 9256.4995543672. The cubic root of 85682784 is about 440.8571171360.

The spelling of 85682784 in words is "eighty-five million, six hundred eighty-two thousand, seven hundred eighty-four".