84066048 has 216 divisors, whose sum is σ = 275498496. Its totient is φ = 24422400.

The previous prime is 84066029. The next prime is 84066049.

84066048 is a `hidden beast` number, since 8 + 40 + 6 + 604 + 8 = 666.

84066048 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84066049) 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, 785611 + ... + 785717.

It is an arithmetic number, because the mean of its divisors is an integer number (1275456).

Almost surely, 2^84066048 is an apocalyptic number.

84066048 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 84066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137749248).

84066048 is an abundant number, since it is smaller than the sum of its proper divisors (191432448).

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

84066048 is a wasteful number, since it uses less digits than its factorization.

84066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

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

The square root of 84066048 is about 9168.7538957047. The cubic root of 84066048 is about 438.0666690285.

The spelling of 84066048 in words is "eighty-four million, sixty-six thousand, forty-eight".