85508784 has 70 divisors (see below), whose sum is σ = 248430156. Its totient is φ = 28499040.

The previous prime is 85508777. The next prime is 85508789. The reversal of 85508784 is 48780558.

It is not an unprimeable number, because it can be changed into a prime (85508789) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999 + ... + 15329.

Almost surely, 2^85508784 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 85508784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124215078).

85508784 is an abundant number, since it is smaller than the sum of its proper divisors (162921372).

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

85508784 is an equidigital number, since it uses as much as digits as its factorization.

85508784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 85508784 is about 9247.0959765756. The cubic root of 85508784 is about 440.5584919083.

The spelling of 85508784 in words is "eighty-five million, five hundred eight thousand, seven hundred eighty-four".