84480840 has 256 divisors, whose sum is σ = 311040000. Its totient is φ = 20300544.

The previous prime is 84480839. The next prime is 84480881. The reversal of 84480840 is 4808448.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 84480795 and 84480804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471871 + ... + 472049.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 2^84480840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84480840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520000).

84480840 is an abundant number, since it is smaller than the sum of its proper divisors (226559160).

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

84480840 is a wasteful number, since it uses less digits than its factorization.

84480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84480840 is about 9191.3459297319. The cubic root of 84480840 is about 438.7859784946.

The spelling of 84480840 in words is "eighty-four million, four hundred eighty thousand, eight hundred forty".