84680640 has 336 divisors, whose sum is σ = 332414880. Its totient is φ = 20528640.

The previous prime is 84680639. The next prime is 84680677. The reversal of 84680640 is 4608648.

84680640 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84680595 and 84680604.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7698235 + ... + 7698245.

It is an arithmetic number, because the mean of its divisors is an integer number (989330).

Almost surely, 2^84680640 is an apocalyptic number.

84680640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166207440).

84680640 is an abundant number, since it is smaller than the sum of its proper divisors (247734240).

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

84680640 is an equidigital number, since it uses as much as digits as its factorization.

84680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 84680640 is about 9202.2084305888. The cubic root of 84680640 is about 439.1316206364.

The spelling of 84680640 in words is "eighty-four million, six hundred eighty thousand, six hundred forty".