84244608 has 192 divisors, whose sum is σ = 286840320. Its totient is φ = 23224320.

The previous prime is 84244603. The next prime is 84244609. The reversal of 84244608 is 80644248.

84244608 is a `hidden beast` number, since 8 + 4 + 2 + 44 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84244603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249816 + ... + 250152.

It is an arithmetic number, because the mean of its divisors is an integer number (1493960).

Almost surely, 2^84244608 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 84244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143420160).

84244608 is an abundant number, since it is smaller than the sum of its proper divisors (202595712).

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

84244608 is a wasteful number, since it uses less digits than its factorization.

84244608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 84244608 is about 9178.4861496872. The cubic root of 84244608 is about 438.3766073440.

The spelling of 84244608 in words is "eighty-four million, two hundred forty-four thousand, six hundred eight".