84604608 has 112 divisors (see below), whose sum is σ = 271393920. Its totient is φ = 25632000.

The previous prime is 84604547. The next prime is 84604609. The reversal of 84604608 is 80640648.

84604608 is a `hidden beast` number, since 8 + 46 + 0 + 4 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (84604609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16783 + ... + 21233.

It is an arithmetic number, because the mean of its divisors is an integer number (2423160).

Almost surely, 2^84604608 is an apocalyptic number.

84604608 is a gapful number since it is divisible by the number (88) 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 84604608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135696960).

84604608 is an abundant number, since it is smaller than the sum of its proper divisors (186789312).

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

84604608 is a wasteful number, since it uses less digits than its factorization.

84604608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84604608 is about 9198.0763206227. The cubic root of 84604608 is about 439.0001539358. Note that the first 3 decimals are identical.

The spelling of 84604608 in words is "eighty-four million, six hundred four thousand, six hundred eight".