84441504 has 144 divisors (see below), whose sum is σ = 267170400. Its totient is φ = 23256576.

The previous prime is 84441493. The next prime is 84441523. The reversal of 84441504 is 40514448.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136107 + ... + 136725.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^84441504 is an apocalyptic number.

84441504 is a gapful number since it is divisible by the number (84) 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 84441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

84441504 is an abundant number, since it is smaller than the sum of its proper divisors (182728896).

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

84441504 is a wasteful number, since it uses less digits than its factorization.

84441504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 84441504 is about 9189.2058416383. The cubic root of 84441504 is about 438.7178653586.

The spelling of 84441504 in words is "eighty-four million, four hundred forty-one thousand, five hundred four".