84679680 has 176 divisors, whose sum is σ = 280029600. Its totient is φ = 21823488.

The previous prime is 84679657. The next prime is 84679697. The reversal of 84679680 is 8697648.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 568246 + ... + 568394.

Almost surely, 2^84679680 is an apocalyptic number.

84679680 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 84679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140014800).

84679680 is an abundant number, since it is smaller than the sum of its proper divisors (195349920).

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

84679680 is a wasteful number, since it uses less digits than its factorization.

84679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 84679680 is about 9202.1562690491. The cubic root of 84679680 is about 439.1299611940.

The spelling of 84679680 in words is "eighty-four million, six hundred seventy-nine thousand, six hundred eighty".