84641408 has 64 divisors (see below), whose sum is σ = 176843520. Its totient is φ = 40304640.

The previous prime is 84641363. The next prime is 84641411. The reversal of 84641408 is 80414648.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329216 + ... + 329472.

It is an arithmetic number, because the mean of its divisors is an integer number (2763180).

Almost surely, 2^84641408 is an apocalyptic number.

84641408 is the 5312-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88421760).

84641408 is an abundant number, since it is smaller than the sum of its proper divisors (92202112).

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

84641408 is a wasteful number, since it uses less digits than its factorization.

84641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 84641408 is about 9200.0765214209. The cubic root of 84641408 is about 439.0637945353.

The spelling of 84641408 in words is "eighty-four million, six hundred forty-one thousand, four hundred eight".