86824960 has 96 divisors (see below), whose sum is σ = 213267600. Its totient is φ = 33914880.

The previous prime is 86824957. The next prime is 86824961. The reversal of 86824960 is 6942868.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86824961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624571 + ... + 624709.

Almost surely, 2^86824960 is an apocalyptic number.

86824960 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 86824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

86824960 is an abundant number, since it is smaller than the sum of its proper divisors (126442640).

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

86824960 is a wasteful number, since it uses less digits than its factorization.

86824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 86824960 is about 9317.9911998241. The cubic root of 86824960 is about 442.8073938467.

The spelling of 86824960 in words is "eighty-six million, eight hundred twenty-four thousand, nine hundred sixty".