84242730 has 128 divisors (see below), whose sum is σ = 241678080. Its totient is φ = 18524160.

The previous prime is 84242729. The next prime is 84242731. The reversal of 84242730 is 3724248.

It is an interprime number because it is at equal distance from previous prime (84242729) and next prime (84242731).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84242731) 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 63 ways as a sum of consecutive naturals, for example, 313036 + ... + 313304.

It is an arithmetic number, because the mean of its divisors is an integer number (1888110).

Almost surely, 2^84242730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84242730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

84242730 is an abundant number, since it is smaller than the sum of its proper divisors (157435350).

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

84242730 is a wasteful number, since it uses less digits than its factorization.

84242730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376.

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 84242730 is about 9178.3838446646. The cubic root of 84242730 is about 438.3733498560.

Adding to 84242730 its reverse (3724248), we get a palindrome (87966978).

The spelling of 84242730 in words is "eighty-four million, two hundred forty-two thousand, seven hundred thirty".