85924608 has 144 divisors (see below), whose sum is σ = 285309696. Its totient is φ = 22302720.

The previous prime is 85924589. The next prime is 85924627. The reversal of 85924608 is 80642958.

It is an interprime number because it is at equal distance from previous prime (85924589) and next prime (85924627).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 85924608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58410 + ... + 59862.

Almost surely, 2^85924608 is an apocalyptic number.

85924608 is a gapful number since it is divisible by the number (88) 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 85924608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142654848).

85924608 is an abundant number, since it is smaller than the sum of its proper divisors (199385088).

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

85924608 is a wasteful number, since it uses less digits than its factorization.

85924608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85924608 is about 9269.5527400193. The cubic root of 85924608 is about 441.2714737815.

The spelling of 85924608 in words is "eighty-five million, nine hundred twenty-four thousand, six hundred eight".