85242624 has 72 divisors (see below), whose sum is σ = 240251760. Its totient is φ = 26738688.

The previous prime is 85242601. The next prime is 85242637. The reversal of 85242624 is 42624258.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9792 + ... + 16320.

It is an arithmetic number, because the mean of its divisors is an integer number (3336830).

Almost surely, 2^85242624 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 85242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120125880).

85242624 is an abundant number, since it is smaller than the sum of its proper divisors (155009136).

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

85242624 is a wasteful number, since it uses less digits than its factorization.

85242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6551 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 85242624 is about 9232.6932148751. The cubic root of 85242624 is about 440.1009134930.

The spelling of 85242624 in words is "eighty-five million, two hundred forty-two thousand, six hundred twenty-four".