86020306344 has 384 divisors, whose sum is σ = 286549488000. Its totient is φ = 23828732928.

The previous prime is 86020306319. The next prime is 86020306349. The reversal of 86020306344 is 44360302068.

It is a happy number.

86020306344 is a `hidden beast` number, since 8 + 6 + 0 + 2 + 0 + 306 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86020306299 and 86020306308.

It is not an unprimeable number, because it can be changed into a prime (86020306349) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 49923867 + ... + 49925589.

It is an arithmetic number, because the mean of its divisors is an integer number (746222625).

Almost surely, 2^86020306344 is an apocalyptic number.

86020306344 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 86020306344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143274744000).

86020306344 is an abundant number, since it is smaller than the sum of its proper divisors (200529181656).

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

86020306344 is a wasteful number, since it uses less digits than its factorization.

86020306344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 86020306344 in words is "eighty-six billion, twenty million, three hundred six thousand, three hundred forty-four".