84028680 has 96 divisors (see below), whose sum is σ = 279803160. Its totient is φ = 21857280.

The previous prime is 84028673. The next prime is 84028717. The reversal of 84028680 is 8682048.

It can be written as a sum of positive squares in 4 ways, for example, as 27688644 + 56340036 = 5262^2 + 7506^2 .

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

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, 11914 + ... + 17606.

Almost surely, 2^84028680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139901580).

84028680 is an abundant number, since it is smaller than the sum of its proper divisors (195774480).

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

84028680 is a wasteful number, since it uses less digits than its factorization.

84028680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 84028680 is about 9166.7158786558. The cubic root of 84028680 is about 438.0017514160.

The spelling of 84028680 in words is "eighty-four million, twenty-eight thousand, six hundred eighty".