84984480 has 144 divisors (see below), whose sum is σ = 331478784. Its totient is φ = 19422720.

The previous prime is 84984443. The next prime is 84984491. The reversal of 84984480 is 8448948.

84984480 is a `hidden beast` number, since 84 + 98 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 5865 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 2^84984480 is an apocalyptic number.

84984480 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 84984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392).

84984480 is an abundant number, since it is smaller than the sum of its proper divisors (246494304).

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

84984480 is a wasteful number, since it uses less digits than its factorization.

84984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 84984480 is about 9218.7027286924. The cubic root of 84984480 is about 439.6562052746.

The spelling of 84984480 in words is "eighty-four million, nine hundred eighty-four thousand, four hundred eighty".