84638772 has 36 divisors (see below), whose sum is σ = 214234020. Its totient is φ = 28175232.

The previous prime is 84638753. The next prime is 84638797. The reversal of 84638772 is 27783648.

It is a happy number.

84638772 is a `hidden beast` number, since 8 + 4 + 638 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79816356 + 4822416 = 8934^2 + 2196^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43288 + ... + 45200.

It is an arithmetic number, because the mean of its divisors is an integer number (5950945).

Almost surely, 2^84638772 is an apocalyptic number.

It is an amenable number.

84638772 is an abundant number, since it is smaller than the sum of its proper divisors (129595248).

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

84638772 is a wasteful number, since it uses less digits than its factorization.

84638772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3147 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 84638772 is about 9199.9332606275. The cubic root of 84638772 is about 439.0592365449.

The spelling of 84638772 in words is "eighty-four million, six hundred thirty-eight thousand, seven hundred seventy-two".