84677648 has 20 divisors (see below), whose sum is σ = 178978128. Its totient is φ = 38489760.

The previous prime is 84677641. The next prime is 84677687.

84677648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84677596 and 84677605.

It is not an unprimeable number, because it can be changed into a prime (84677641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240386 + ... + 240737.

Almost surely, 2^84677648 is an apocalyptic number.

84677648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84677648 is an abundant number, since it is smaller than the sum of its proper divisors (94300480).

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

84677648 is a wasteful number, since it uses less digits than its factorization.

84677648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481142 (or 481136 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The square root of 84677648 is about 9202.0458594815. The cubic root of 84677648 is about 439.1264486661.

The spelling of 84677648 in words is "eighty-four million, six hundred seventy-seven thousand, six hundred forty-eight".