84687680 has 168 divisors, whose sum is σ = 256434336. Its totient is φ = 26342400.

The previous prime is 84687667. The next prime is 84687689. The reversal of 84687680 is 8678648.

It is a happy number.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84687689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172235 + ... + 172725.

Almost surely, 2^84687680 is an apocalyptic number.

84687680 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 84687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128217168).

84687680 is an abundant number, since it is smaller than the sum of its proper divisors (171746656).

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

84687680 is a wasteful number, since it uses less digits than its factorization.

84687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 84687680 is about 9202.5909395126. The cubic root of 84687680 is about 439.1437894979.

The spelling of 84687680 in words is "eighty-four million, six hundred eighty-seven thousand, six hundred eighty".