84529368 has 192 divisors, whose sum is σ = 290534400. Its totient is φ = 21565440.

The previous prime is 84529363. The next prime is 84529369. The reversal of 84529368 is 86392548.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84529363) 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 47 ways as a sum of consecutive naturals, for example, 437880 + ... + 438072.

It is an arithmetic number, because the mean of its divisors is an integer number (1513200).

Almost surely, 2^84529368 is an apocalyptic number.

84529368 is a gapful number since it is divisible by the number (88) 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 84529368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145267200).

84529368 is an abundant number, since it is smaller than the sum of its proper divisors (206005032).

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

84529368 is a wasteful number, since it uses less digits than its factorization.

84529368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 84529368 is about 9193.9854252658. The cubic root of 84529368 is about 438.8699791196.

The spelling of 84529368 in words is "eighty-four million, five hundred twenty-nine thousand, three hundred sixty-eight".