84587680 has 24 divisors (see below), whose sum is σ = 199838772. Its totient is φ = 33835008.

The previous prime is 84587669. The next prime is 84587687. The reversal of 84587680 is 8678548.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 7639696 = 8772^2 + 2764^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84587680.

It is not an unprimeable number, because it can be changed into a prime (84587687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264177 + ... + 264496.

Almost surely, 2^84587680 is an apocalyptic number.

84587680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84587680 is an abundant number, since it is smaller than the sum of its proper divisors (115251092).

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

84587680 is a wasteful number, since it uses less digits than its factorization.

84587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528688 (or 528680 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 84587680 is about 9197.1560821811. The cubic root of 84587680 is about 438.9708730630.

The spelling of 84587680 in words is "eighty-four million, five hundred eighty-seven thousand, six hundred eighty".