84888480 has 192 divisors, whose sum is σ = 288707328. Its totient is φ = 20889600.

The previous prime is 84888473. The next prime is 84888511. The reversal of 84888480 is 8488848.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824109 + ... + 824211.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 2^84888480 is an apocalyptic number.

84888480 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 84888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

84888480 is an abundant number, since it is smaller than the sum of its proper divisors (203818848).

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

84888480 is a wasteful number, since it uses less digits than its factorization.

84888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 84888480 is about 9213.4944510756. The cubic root of 84888480 is about 439.4905950428.

The spelling of 84888480 in words is "eighty-four million, eight hundred eighty-eight thousand, four hundred eighty".