85338464 has 48 divisors (see below), whose sum is σ = 179117568. Its totient is φ = 39929472.

The previous prime is 85338457. The next prime is 85338469. The reversal of 85338464 is 46483358.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85338469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33359 + ... + 35825.

It is an arithmetic number, because the mean of its divisors is an integer number (3731616).

Almost surely, 2^85338464 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 85338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89558784).

85338464 is an abundant number, since it is smaller than the sum of its proper divisors (93779104).

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

85338464 is a wasteful number, since it uses less digits than its factorization.

85338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2539 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 85338464 is about 9237.8820083394. The cubic root of 85338464 is about 440.2657898258.

The spelling of 85338464 in words is "eighty-five million, three hundred thirty-eight thousand, four hundred sixty-four".