84688648 has 32 divisors (see below), whose sum is σ = 174085920. Its totient is φ = 38304000.

The previous prime is 84688631. The next prime is 84688649.

84688648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84688595 and 84688604.

It is not an unprimeable number, because it can be changed into a prime (84688649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16288 + ... + 20848.

It is an arithmetic number, because the mean of its divisors is an integer number (5440185).

Almost surely, 2^84688648 is an apocalyptic number.

84688648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84688648 is an abundant number, since it is smaller than the sum of its proper divisors (89397272).

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

84688648 is a wasteful number, since it uses less digits than its factorization.

84688648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4785 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The square root of 84688648 is about 9202.6435332463. The cubic root of 84688648 is about 439.1454626637.

The spelling of 84688648 in words is "eighty-four million, six hundred eighty-eight thousand, six hundred forty-eight".