84309408 has 72 divisors (see below), whose sum is σ = 242712288. Its totient is φ = 27756672.

The previous prime is 84309377. The next prime is 84309431. The reversal of 84309408 is 80490348.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22141 + ... + 25667.

It is an arithmetic number, because the mean of its divisors is an integer number (3371004).

Almost surely, 2^84309408 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 84309408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121356144).

84309408 is an abundant number, since it is smaller than the sum of its proper divisors (158402880).

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

84309408 is a wasteful number, since it uses less digits than its factorization.

84309408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3615 counting only the distinct ones).

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

The square root of 84309408 is about 9182.0154650273. The cubic root of 84309408 is about 438.4889766479.

The spelling of 84309408 in words is "eighty-four million, three hundred nine thousand, four hundred eight".