84648820 has 24 divisors (see below), whose sum is σ = 178167528. Its totient is φ = 33782400.

The previous prime is 84648787. The next prime is 84648847. The reversal of 84648820 is 2884648.

It can be written as a sum of positive squares in 4 ways, for example, as 7595536 + 77053284 = 2756^2 + 8778^2 .

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 7 ways as a sum of consecutive naturals, for example, 4630 + ... + 13810.

It is an arithmetic number, because the mean of its divisors is an integer number (7423647).

Almost surely, 2^84648820 is an apocalyptic number.

It is an amenable number.

84648820 is an abundant number, since it is smaller than the sum of its proper divisors (93518708).

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

84648820 is a wasteful number, since it uses less digits than its factorization.

84648820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 84648820 is about 9200.4793353390. The cubic root of 84648820 is about 439.0766103502.

The spelling of 84648820 in words is "eighty-four million, six hundred forty-eight thousand, eight hundred twenty".