85214464 has 36 divisors (see below), whose sum is σ = 170747584. Its totient is φ = 42444288.

The previous prime is 85214453. The next prime is 85214483. The reversal of 85214464 is 46441258.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93499 + ... + 94405.

Almost surely, 2^85214464 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 85214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85373792).

85214464 is an abundant number, since it is smaller than the sum of its proper divisors (85533120).

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

85214464 is an equidigital number, since it uses as much as digits as its factorization.

85214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1276 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The square root of 85214464 is about 9231.1680734347. The cubic root of 85214464 is about 440.0524455392.

The spelling of 85214464 in words is "eighty-five million, two hundred fourteen thousand, four hundred sixty-four".