85929984 has 260 divisors, whose sum is σ = 301297744. Its totient is φ = 23887872.

The previous prime is 85929937. The next prime is 85929997. The reversal of 85929984 is 48992958.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1866240) is a multiple of the sum of its prime factors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85929984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322414 + ... + 2322450.

Almost surely, 2^85929984 is an apocalyptic number.

85929984 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 85929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150648872).

85929984 is an abundant number, since it is smaller than the sum of its proper divisors (215367760).

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

85929984 is an equidigital number, since it uses as much as digits as its factorization.

85929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 85929984 is about 9269.8427171123. The cubic root of 85929984 is about 441.2806765234.

The spelling of 85929984 in words is "eighty-five million, nine hundred twenty-nine thousand, nine hundred eighty-four".