84123648 has 168 divisors, whose sum is σ = 279428448. Its totient is φ = 23887872.

The previous prime is 84123647. The next prime is 84123649. The reversal of 84123648 is 84632148.

84123648 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (84123647) and next prime (84123649).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84123643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516015 + ... + 516177.

Almost surely, 2^84123648 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 84123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139714224).

84123648 is an abundant number, since it is smaller than the sum of its proper divisors (195304800).

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

84123648 is a wasteful number, since it uses less digits than its factorization.

84123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

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

The square root of 84123648 is about 9171.8944607971. The cubic root of 84123648 is about 438.1666970421.

The spelling of 84123648 in words is "eighty-four million, one hundred twenty-three thousand, six hundred forty-eight".