84487680 has 240 divisors, whose sum is σ = 309600720. Its totient is φ = 21233664.

The previous prime is 84487651. The next prime is 84487691. The reversal of 84487680 is 8678448.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 437664 + ... + 437856.

It is an arithmetic number, because the mean of its divisors is an integer number (1290003).

Almost surely, 2^84487680 is an apocalyptic number.

84487680 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 84487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154800360).

84487680 is an abundant number, since it is smaller than the sum of its proper divisors (225113040).

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

84487680 is a wasteful number, since it uses less digits than its factorization.

84487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 84487680 is about 9191.7180113404. The cubic root of 84487680 is about 438.7978202924.

The spelling of 84487680 in words is "eighty-four million, four hundred eighty-seven thousand, six hundred eighty".