85064784 has 120 divisors (see below), whose sum is σ = 260385120. Its totient is φ = 23853312.

The previous prime is 85064773. The next prime is 85064827. The reversal of 85064784 is 48746058.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138462 + ... + 139074.

It is an arithmetic number, because the mean of its divisors is an integer number (2169876).

Almost surely, 2^85064784 is an apocalyptic number.

85064784 is a gapful number since it is divisible by the number (84) 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 85064784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130192560).

85064784 is an abundant number, since it is smaller than the sum of its proper divisors (175320336).

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

85064784 is a wasteful number, since it uses less digits than its factorization.

85064784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 85064784 is about 9223.0571937943. The cubic root of 85064784 is about 439.7946424621.

The spelling of 85064784 in words is "eighty-five million, sixty-four thousand, seven hundred eighty-four".