84530880 has 252 divisors, whose sum is σ = 338785200. Its totient is φ = 19289088.

The previous prime is 84530837. The next prime is 84530881. The reversal of 84530880 is 8803548.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84530881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140821 + ... + 141419.

Almost surely, 2^84530880 is an apocalyptic number.

84530880 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 84530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169392600).

84530880 is an abundant number, since it is smaller than the sum of its proper divisors (254254320).

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

84530880 is a wasteful number, since it uses less digits than its factorization.

84530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 84530880 is about 9194.0676525681. The cubic root of 84530880 is about 438.8725958333.

The spelling of 84530880 in words is "eighty-four million, five hundred thirty thousand, eight hundred eighty".