84166656 has 192 divisors, whose sum is σ = 272563200. Its totient is φ = 22560768.

The previous prime is 84166651. The next prime is 84166661. The reversal of 84166656 is 65666148.

It is an interprime number because it is at equal distance from previous prime (84166651) and next prime (84166661).

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

It is a super-3 number, since 3×84166656³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (84166651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817101 + ... + 817203.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2^84166656 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 84166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

84166656 is an abundant number, since it is smaller than the sum of its proper divisors (188396544).

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

84166656 is a wasteful number, since it uses less digits than its factorization.

84166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 84166656 is about 9174.2387150106. The cubic root of 84166656 is about 438.2413548553.

The spelling of 84166656 in words is "eighty-four million, one hundred sixty-six thousand, six hundred fifty-six".