85607424 has 132 divisors (see below), whose sum is σ = 282715264. Its totient is φ = 24440832.

The previous prime is 85607419. The next prime is 85607443. The reversal of 85607424 is 42470658.

85607424 is a `hidden beast` number, since 8 + 5 + 607 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 63849 + ... + 65175.

Almost surely, 2^85607424 is an apocalyptic number.

85607424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141357632).

85607424 is an abundant number, since it is smaller than the sum of its proper divisors (197107840).

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

85607424 is a wasteful number, since it uses less digits than its factorization.

85607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85607424 is about 9252.4280056642. The cubic root of 85607424 is about 440.7278311983.

The spelling of 85607424 in words is "eighty-five million, six hundred seven thousand, four hundred twenty-four".