84827088 has 200 divisors, whose sum is σ = 265120680. Its totient is φ = 26127360.

The previous prime is 84827081. The next prime is 84827107. The reversal of 84827088 is 88072848.

It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 75898944 = 2988^2 + 8712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84827081) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1390578 + ... + 1390638.

Almost surely, 2^84827088 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 84827088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132560340).

84827088 is an abundant number, since it is smaller than the sum of its proper divisors (180293592).

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

84827088 is a wasteful number, since it uses less digits than its factorization.

84827088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 84827088 is about 9210.1622135552. The cubic root of 84827088 is about 439.3846218352.

The spelling of 84827088 in words is "eighty-four million, eight hundred twenty-seven thousand, eighty-eight".