85418496 has 160 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 27537408.

The previous prime is 85418461. The next prime is 85418521. The reversal of 85418496 is 69481458.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511405 + ... + 511571.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^85418496 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 85418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

85418496 is an abundant number, since it is smaller than the sum of its proper divisors (175814784).

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

85418496 is a wasteful number, since it uses less digits than its factorization.

85418496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85418496 is about 9242.2127220704. The cubic root of 85418496 is about 440.4033766418.

The spelling of 85418496 in words is "eighty-five million, four hundred eighteen thousand, four hundred ninety-six".