85509424 has 160 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 29030400.

The previous prime is 85509421. The next prime is 85509427. The reversal of 85509424 is 42490558.

85509424 = 102³ + 103³ + ... + 145³.

85509424 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (85509421) and next prime (85509427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85509421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304164 + ... + 304444.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 2^85509424 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 85509424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117492480).

85509424 is an abundant number, since it is smaller than the sum of its proper divisors (149475536).

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

85509424 is a wasteful number, since it uses less digits than its factorization.

85509424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 85509424 is about 9247.1305819697. The cubic root of 85509424 is about 440.5595910419.

The spelling of 85509424 in words is "eighty-five million, five hundred nine thousand, four hundred twenty-four".