84439680 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 19464192.

The previous prime is 84439651. The next prime is 84439681. The reversal of 84439680 is 8693448.

It is not an unprimeable number, because it can be changed into a prime (84439681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424221 + ... + 424419.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^84439680 is an apocalyptic number.

84439680 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 84439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

84439680 is an abundant number, since it is smaller than the sum of its proper divisors (224008320).

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

84439680 is a wasteful number, since it uses less digits than its factorization.

84439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 84439680 is about 9189.1065942234. The cubic root of 84439680 is about 438.7147064572.

The spelling of 84439680 in words is "eighty-four million, four hundred thirty-nine thousand, six hundred eighty".