85984080 has 320 divisors, whose sum is σ = 341311488. Its totient is φ = 17418240.

The previous prime is 85984061. The next prime is 85984121. The reversal of 85984080 is 8048958.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 676977 + ... + 677103.

Almost surely, 2^85984080 is an apocalyptic number.

85984080 is a gapful number since it is divisible by the number (80) 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 85984080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170655744).

85984080 is an abundant number, since it is smaller than the sum of its proper divisors (255327408).

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

85984080 is a wasteful number, since it uses less digits than its factorization.

85984080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 85984080 is about 9272.7601068937. The cubic root of 85984080 is about 441.3732577576.

The spelling of 85984080 in words is "eighty-five million, nine hundred eighty-four thousand, eighty".