86205408 has 48 divisors (see below), whose sum is σ = 229407696. Its totient is φ = 28339200.

The previous prime is 86205391. The next prime is 86205409. The reversal of 86205408 is 80450268.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86205409) 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, 858 + ... + 13158.

It is an arithmetic number, because the mean of its divisors is an integer number (4779327).

Almost surely, 2^86205408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114703848).

86205408 is an abundant number, since it is smaller than the sum of its proper divisors (143202288).

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

86205408 is a wasteful number, since it uses less digits than its factorization.

86205408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12387 (or 12379 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 86205408 is about 9284.6867475430. The cubic root of 86205408 is about 441.7516400567.

It can be divided in two parts, 8620 and 5408, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 86205408 in words is "eighty-six million, two hundred five thousand, four hundred eight".