84106656 has 36 divisors (see below), whose sum is σ = 239179122. Its totient is φ = 28035456.

The previous prime is 84106643. The next prime is 84106679. The reversal of 84106656 is 65660148.

It can be written as a sum of positive squares in only one way, i.e., 82519056 + 1587600 = 9084^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 84106656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145731 + ... + 146306.

Almost surely, 2^84106656 is an apocalyptic number.

It is an amenable number.

84106656 is an abundant number, since it is smaller than the sum of its proper divisors (155072466).

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

84106656 is a wasteful number, since it uses less digits than its factorization.

84106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292053 (or 292042 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 84106656 is about 9170.9681059308. The cubic root of 84106656 is about 438.1371935274.

The spelling of 84106656 in words is "eighty-four million, one hundred six thousand, six hundred fifty-six".