84241880 has 64 divisors (see below), whose sum is σ = 200551680. Its totient is φ = 31795200.

The previous prime is 84241879. The next prime is 84241889. The reversal of 84241880 is 8814248.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84241880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84241889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50012 + ... + 51668.

It is an arithmetic number, because the mean of its divisors is an integer number (3133620).

Almost surely, 2^84241880 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 84241880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100275840).

84241880 is an abundant number, since it is smaller than the sum of its proper divisors (116309800).

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

84241880 is a wasteful number, since it uses less digits than its factorization.

84241880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 84241880 is about 9178.3375400995. The cubic root of 84241880 is about 438.3718754712.

The spelling of 84241880 in words is "eighty-four million, two hundred forty-one thousand, eight hundred eighty".