384610086 has 64 divisors (see below), whose sum is σ = 981888000. Its totient is φ = 109315008.

The previous prime is 384610069. The next prime is 384610099. The reversal of 384610086 is 680016483.

It is a happy number.

384610086 is a `hidden beast` number, since 38 + 4 + 610 + 0 + 8 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 384610086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72666 + ... + 77778.

It is an arithmetic number, because the mean of its divisors is an integer number (15342000).

Almost surely, 2^384610086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384610086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490944000).

384610086 is an abundant number, since it is smaller than the sum of its proper divisors (597277914).

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

384610086 is a wasteful number, since it uses less digits than its factorization.

384610086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 384610086 is about 19611.4784246369. The cubic root of 384610086 is about 727.2329639557.

The spelling of 384610086 in words is "three hundred eighty-four million, six hundred ten thousand, eighty-six".