84884352 has 128 divisors (see below), whose sum is σ = 269084160. Its totient is φ = 23181312.

The previous prime is 84884351. The next prime is 84884389. The reversal of 84884352 is 25348848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84884351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61138 + ... + 62510.

It is an arithmetic number, because the mean of its divisors is an integer number (2102220).

Almost surely, 2^84884352 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 84884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134542080).

84884352 is an abundant number, since it is smaller than the sum of its proper divisors (184199808).

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

84884352 is a wasteful number, since it uses less digits than its factorization.

84884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1408 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 84884352 is about 9213.2704291147. The cubic root of 84884352 is about 439.4834710036.

The spelling of 84884352 in words is "eighty-four million, eight hundred eighty-four thousand, three hundred fifty-two".