84271680 has 168 divisors, whose sum is σ = 300151800. Its totient is φ = 21676032.

The previous prime is 84271679. The next prime is 84271699. The reversal of 84271680 is 8617248.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 79709184 = 2136^2 + 8928^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83016 + ... + 84024.

Almost surely, 2^84271680 is an apocalyptic number.

84271680 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 84271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150075900).

84271680 is an abundant number, since it is smaller than the sum of its proper divisors (215880120).

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

84271680 is a wasteful number, since it uses less digits than its factorization.

84271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 84271680 is about 9179.9607842300. The cubic root of 84271680 is about 438.4235597476.

The spelling of 84271680 in words is "eighty-four million, two hundred seventy-one thousand, six hundred eighty".